01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
24.01.1961
E-mail:
,
Keywords:
inequalities, integral operators, transmutations, special functions,
fractional calculus,
numerical methods, approximation of functions.
UDC:
517.926.4, 517.968.25
Subject:
1. Transmutation operators.
2. Integral operators with special function kernels.
3. Fractional calculus and its applications.
4. Classical inequalities.
5. Special functions and their inequalities.
6. Numerical methods and approximations.
V. V. Kravchenko, S. M. Sitnik, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko, Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020 , XVII, 686 pp. https://www.springer.com/gp/book/9783030359133
S. M. Sitnik, E. L. Shishkina, Metod operatorov preobrazovaniya dlya differentsialnykh uravnenii s operatorami Besselya, Fizmatlit, Moskva, 2019 , 224 pp.
Valeriy V. Katrakhov, Sergey M. Sitnik, “Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations”, English translation by Professor A.B.Muravnik, arxiv.org, 2022, 1–207https://doi.org/10.48550/arXiv.2210.02246
S.M. Sitnik, Generalized Young and Cauchy-Bunyakowsky Inequalities with Applications: a survey, 2010 , 51 pp., arXiv: arXiv:1012.3864
D.Karp, S.M.Sitnik, “Log-convexity and log-concavity of hypergeometric-like functions”, Journal of Mathematical Analysis and Applications, 364 (2010), P. 384-–394. , arXiv: 0902.3073v1
Sitnik S.M., “Inequalities for Bessel functions”, Dokl. Math. of the Russian Academy of Sciences, 51:1 (1995), 25–28
S. M. Sitnik, “Faktorizatsiya i otsenki norm v vesovykh lebegovykh prostranstvakh operatorov Bushmana–Erdeii”, (predstavlena akademikom S. M. Nikolskim), Doklady Akademii Nauk SSSR, 320:6 (1991), 1326–1330; S. M. Sitnik, “Factorization and estimates of the norms of Buschman-Erdelyi operators in weighted Lebesgue spaces”, Soviet Mathematics Doklades. Soviet Academy of Sciences,, 44:2 (1992), 641–646
Katrakhov V.V., Sitnik S.M., “A boundary–value problem for the steady-state Schrodinger equation with a singular potential”, Soviet Math. Dokl., 30:2 (1984), 468–470
A. K. Urinov, S. M. Sitnik, Sh. T. Karimov., Operatory preobrazovaniya na osnove razlichnykh form drobnogo integrodifferentsirovaniya:
(prilozheniya k singulyarnym differentsialnym uravneniyam), eds. Soldatov A.P., LAP LAMBERT Academic Publishing, 2025 , 334 pp. https://my.lap-publishing.com/catalog/details/store/es/book/978-620-8-41929-5/
2.
A. B. Muravnik, I. P. Polovinkin, S. M. Sitnik, “Nekotorye zadachi sovremennoi teorii differentsialnykh uravnenii”, Sovremennye metody matematicheskoi fiziki i ikh prilozheniya, Respublikanskaya nauchnaya konferentsiya, posvyaschennaya 80-letiyu so dnya rozhdeniya
Akademika Sh.A.Alimova (Uzbekistan, Tashkent, 22–24 aprelya 2025 g.), 1, “Ma'rifat”, Tashkent, 2025, 270–275https://mmmph2025.nuu.uz/collection.html
3.
A. B. Muravnik, I. P. Polovinkin , S. M.Sitnik, “O nekotorykh sovremennykh zadachakh po teorii operatorov preobrazovaniya i ikh prilozheniyam k differentsialnym uravneniyam”, Tezisy dokladov Respublikanskoi nauchnoi konferentsii “Sovremennye problemy differentsialnykh uravnenii i smezhnykh razdelov matematiki”,, (posvyaschaetsya 75-letiyu so dnya rozhdeniya Akhmadzhona Kushakovicha Urinova) (Uzbekistan, g. Fergana, 16-17 maya 2025 g.), 1, Ferganskii gosudarstvennyi universitet, Fergana, 2025, 65–67
4.
V. Kiryakova, V.V. Kravchenko, C.P. Li, Yu. Luchko, S.V. Rogosin, S.M. Sitnik, E.L. Shishkina, Vu Kim Tuan, Oleg Marichev: On the occasion of the eightieth anniversary, 2025 , 13 pp., https://doi.org/10.48550/arXiv.2509.25246, arXiv: arXiv.2509.25246
5.
Sergey Sitnik, Shakhobiddin Karimov, Akhrorjon Boynazarov, “Solving the Cauchy problem for an ordinary differential equationwith an integer power
of the Bessel operator using transmutation operators.”, Journal of Mathematical Sciences, 2025, 1–9https://link.springer.com/article/10.1007/s10958-025-07990-z
6.
O. G. Avsyankin, V. P. Burskii, V. V. Goryainov, V. P. Zastavnyi, A. Yu. Ivanov, A. A. Kovalevsky, S. V. Konyagin, D. V. Lymanskyi, A. D. Manov, P. A. Masharov, L. L. Oridoroga, I. P. Polovinkin, S. M. Sitnik, È. L. Shishkina, “Valerii Vladimirovich Volchkov (on his sixtieth birthday)”, Russian Math. Surveys, 80:2 (2025), 359–364
7.
O. S. Avsentev, A. V. Amelina, I. V. Atlasov, O. I. Bokova, E. S. Gerasimenko, S. A. Grechanyi, O. Yu. Danilova, I. G. Drovnikova, V. N. Dumachev, A. V. Kalach, S. V. Kanavin, A. N. Kopylov, Ya. E. Lvovich, A. V. Melnikov, V. V. Menshikh, T. V. Mescheryakova, V. A. Nikitenko, M. A. Pankova,A. V. Podolskikh, A. P. Preobrazhenskii, O. V. Pyankov,S. V. Rodin, E. V. Ryzhkova, E. N. Sereda, S. V. Sinegubov,S. M. Sitnik, A. S. Solovev, L. V. Stepanov, I. V. Sychev,S. A. Telkova, N. S. Khokhlov, N. E. Chirkova, I. V. Scherbakova, Yu. K. Yazov., “Personalii. Vladimir Aleksandrovich Rodin”, Modelirovanie sistem kriticheskogo primeneniya, 2025, no. 1, 56-59https://media.mvd.ru/files/application/14805145
8.
E. G. Bakhtigareeva, O. V. Besov, V. I. Burenkov, E. I. Galakhov, T. E. Denisova, A. N. Karapetyants, G. Zh. Karshygina, A. G. Kusraev, G. G. Magaril-Il'yaev, A. B. Muravnik, K. Yu. Osipenko, V. M. Savchin, S. M. Sitnik, A. L. Skubachevskii, E. O. Sivkova, V. D. Stepanov, V. M. Tikhomirov, E. P. Ushakova, E. L. Shishkina, “Mikhail Lvovich Goldman (13.04.1945–05.07.2025)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 143–144
9.
S. N. Askhabov, A. N. Karapetyants, V. V. Kravchenko, I.K. Marchevsky, A. B. Muravnik, S. V. Rogozin, T. M. Sadykov, S. M. Sitnik, P. G. Tenishchev, E. L. Shishkina, “O. I. Marichev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 139–142
10.
S. V. Rogozin, S. M. Sitnik, E. L. Shishkina, “About the scientific activities of Oleg Igorevich Marichev: to the 80th anniversary”, Chelyab. Fiz.-Mat. Zh., 10:4 (2025), 609–633
2024
11.
Math. Notes, 115:5 (2024), 789–799 , Translated from Prikladnaya Matematika i Fizika, 2023, Vol. 55, No. 3, pp. 248–257 https://doi.org/10.52575/2687-0959-2023-55-3-248-257.
12.
S. M. Sitnik, M. V. Polovinkina, I. P. Polovinkin, “On recovery of the solution to the Cauchy problem for the singular heat equation”, Journal of Mathematical Sciences, 286:1 (2024), 158–171
Sergey Sitnik, Khitam Alzamili, Abdul Qudosi & Elina Shishkina, “Vekua-Erdelyi-Lowndes Type Transmutation and Applications”, Journal of Mathematical Sciences, 281:6 (2024), 938–945
15.
Sergey Sitnik, Oksana Skoromnik, “Multi-Dimensional Integral Transform with Fox Function in Kernel in Lebesgue-Type Spaces”, Mathematics, MDPI, 12:12, This article belongs to the Special Issue Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators, Guest Editor - N.P. Bondarenko (2024), 1829 , 10 pp. https://www.mdpi.com/2227-7390/12/12/1829, arXiv: https://www.preprints.org/manuscript/202404.0536/v1
16.
S. M. Sitnik, “O dzeta funktsiyakh po V.A.Sadovnichemu, postroennym po nulyam funktsii Besselya.”, Mezhdunarodnaya konferentsiya «Matematika v sozvezdii nauk».
K yubileyu rektora MGU akademika Viktora Antonovicha Sadovnichego :
Tezisy dokladov (Moskva, MGU, 1-2 aprelya 2024 g.), eds. Org. komitet: V. A. Sadovnichii, A. I. Shafarevich, I. A. Sokolov [i dr.]., Izdatelstvo Moskovskogo universiteta, 2024, 245–246https://disk.yandex.ru/i/YJ84z2l1UMrIjQ
17.
S. M. Sitnik, “On Absolutely Monotonic Functions And Some Inequalities for Special Functions”, Global and Stochastic Analysis, 11:4 (2024), 94–102https://www.mukpublications.com/resources/gsa
E. L. Shishkina, A. Khitam, A. M. Qudosi, S. M. Sitnik, “Applications of transmutations of vekua – erd´elyi - lowndes type to differential equations”, Applied Mathematics & Physics, 56:1 (2024), 27–34
I. P. Polovinkin, S. M. Sitnik, Special issue: To the 75th Anniversary of V.V. Katrakhov, Lobachevskii Journal of Mathematics, Volume 45, Issue 9, Part 2., eds. I. P. Polovinkin and S. M. Sitnik, Springer Nature, 2024 , approx. 200 pp., (This issue is dedicated to the 75th jubilee of Valeriy Vyacheslavovich Katrakhov) https://link.springer.com/journal/12202/volumes-and-issues/45-9
22.
S.M. Sitnik, S.T. Karimov, K.A. Yulbarsov, “A Cauchy Problem for a Third-Order Pseudo-Parabolic Equation with the Bessel Operator.”, Lobachevskii Journal of Mathematics, 45:9 (2024), 4599 - 4612 , Special issue, Part 2 : To the 75th Anniversary of V.V. Katrakhov, Editors: I. P. Polovinkin and S. M. Sitnik https://link.springer.com/article/10.1134/S1995080224605241
23.
S.M. Sitnik, O.V. Skoromnik, M.V. Papkovich, “A Special Type of Multi-Dimensional Integral Transform with Fox
-Function in Lebesgue-type Weighted Spaces.”, Lobachevskii Journal of Mathematics, 45:9 (2024), 4613–4623 , Special issue, Part 2 : To the 75th Anniversary of V.V. Katrakhov, Editors: I. P. Polovinkin and S. M. Sitnik https://link.springer.com/article/10.1134/S1995080224605253
24.
A. Ya. Belov, V. M. Bukhshtaber, V. B. Vasilev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamii, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov
(k 70-letiyu so dnya rozhdeniya)”, Chebyshevckii sbornik, 25:2 (2024), 5–19https://www.chebsbornik.ru/jour/article/view/1728/1181
25.
S. M. Sitnik, Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, 2nd Edition, eds. S.M. Sitnik, Guest editor, MDPI, Basel, Switzerland, 2024 , 13 papers https://www.mdpi.com/journal/mathematics/special_issues/OYR6185YUC
2023
26.
Sergei M. Sitnik; Shakhobiddin T. Karimov, “Solution of the Goursat Problem for a Fourth-Order Hyperbolic Equation with Singular Coefficients by the Method of Transmutation Operators”, Mathematics (MDPI), 11(4), (This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, Special Issue guest editor- S.M.Sitnik). (2023), 951 , 10 pp. https://www.mdpi.com/2227-7390/11/4/951
Ravshan Ashurov; Sergei Sitnik, “Identification of the Order of the Fractional Derivative for the Fractional Wave Equation”, Fractal and Fractional, 7(1) (2023), 67 , 14 pp. https://www.mdpi.com/2504-3110/7/1/67
Sitnik S.M., Fedorov V.E., Polovinkina M.V., Polovinkin I.P., “On Recovery of the Singular Differential Laplace—Bessel Operator from the Fourier–Bessel Transform”, Mathematics (MDPI), 11:5 (2023), 1103 , 16 pp., (This article belongs to the Special Issue “Recent Advances in the Theory and Applications of Fractional Calculus”, dedicated to our colleague and friend Professor Neville J. Ford on the occasion of his 65th birthday. Special Issue guest editors - Dr. Maria Luisa Morgado, Prof. Dr. Kai Diethelm, Prof. Dr. Yubin Yan.) https://www.mdpi.com/2227-7390/11/5/1103
Sitnik S.M., Tu Rain, “Effektivnaya metodologiya sbora dannykh dlya obucheniya obratnoi dinamicheskoi modeli manipulyatora na osnove analiticheskogo metoda. I.”, Chelyabinskii fiziko-matematicheskii zhurnal, 8:1 (2023), 140–145https://cpmj.csu.ru/index.php/cpmj/article/view/12566/360
30.
S. M. Sitnik, O. V. Skoromnik, M. V. Papkopvich, “Some Multi–dimensional Modified G- and H-Integral Transforms on L— Spaces”, Differential Equations, Mathematical Modeling and Computational Algorithms. DEMMCA 2021, Proceedings in Mathematics & Statistics, 423, eds. Vasilyev V., Springer, Cham, 2023, 193–214https://link.springer.com/chapter/10.1007/978-3-031-28505-9_14
Sergei Sitnik, “Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms””, Mathematics (MDPI), 15:11 (2023), 3402 , 7 pp., (This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, part 1, Guest Editor S.M.Sitnik) https://www.mdpi.com/2227-7390/11/15/3402
33.
S. M. Sitnik, “On the decay rate of solutions to the stationary Schrödinger equation with a potential depending on one variable”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 225, VINITI, Moscow, 2023, 115–122
34.
Sergei Sitnik, Ed., Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, This book is a reprint of the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms that was published in Mathematics, MDPI., eds. Sergei Sitnik, MDPI, Basel, Switzerland, 2023 , 446 pp. https://www.mdpi.com/books/book/7922-analytical-and-computational-methods-in-differential-equations-special-functions-transmutations-and
35.
Naidyuk F.O., Pryadiev V.L., Sitnik S.M., “Mnogochleny Lagerra v opisanii profilei pryamoi i obratnoi voln dlya volnovogo uravneniya na otrezke pri uslovii Robena ili pri uslovii prisoedinennoi massy.”, Prikladnaya matematika & fizika, 55:8 (2023), 248–257http://maths-physics-journal.ru/index.php/journal/article/view/211
36.
Sitnik S.M., Skoromnik O.V., “Multi-Dimensional Integral Transforms with the Fox H-Function and the Legendre Function of the First Kind in the Kernels on L-Spaces”, Lobachevskii Journal of Mathematics., 44:8 (2023), 3563-3581https://link.springer.com/journal/12202/volumes-and-issues/44-8
37.
L. N. Lyakhov, A. B. Muravnik, and S. M. Sitnik., Lobachevskii Journal of Mathematics, Volume 44, Issue 8, August 2023. Part 2. Special issue: I. A. Kipriyanov and His Mathematics: to the Centennial Birthday Anniversary,, 42 research papers., eds. L. N. Lyakhov, A. B. Muravnik, and S. M. Sitnik., Springer, 2023 https://link.springer.com/journal/12202/volumes-and-issues/44-8
38.
Sergey Sitnik, Shakhobiddin Karimov, Yorkinoy Tulasheva, “The Cauchy Problem for the Degenerate Beam Vibration Equation.”, Dedicated to the outstanding mathematician Makhmud Salakhitdinovich Salakhitdinov on the occasion of his 90th anniversary International Mathematical Schools. Vol. 6. Mathematical Schools in Uzbekistan., Journal of Mathematical Sciences, 277 (2023), 458–466https://link.springer.com/article/10.1007/s10958-023-06849-5
S. M. Sitnik, M. V. Polovinkina, V. E. Fedorov, I. P. Polovinkin, “Recovery of the Laplace–Bessel operator of a function by the spectrum, which is specified not everywhere”, Proceedings of the Voronezh international winter mathematical school “Modern methods of function theory and related problems”, Voronezh, January 27 - February 1, 2023, Part 2, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 228, VINITI, Moscow, 2023, 52–57
S. M. Sitnik, Differentsialnye uravneniya i matematicheskaya fizika: uchebnik, ID «BelGU» NIU «BelGU», Belgorod, 2023 , 224 pp.
2022
43.
Sitnik S.M., Arian A.A., “On an Integral Equation with the Riemann Function Kernel”, Axioms (MDPI), 11:4 (2022), 166 , 12 pp. https://doi.org/10.3390/axioms11040166 ((This article belongs to the Special Issue “Advances in Nonlinear Boundary Value Problems: Theory and Applications”, Academic Editors: Feliz Manuel Minhos and Joao Fialho).)
44.
S. M. Sitnik, O. E. Yaremko, N. N. Yaremko, “Generalized Discrete Fourier Transform on the Base of Lagrange and Hermite Interpolation Formulas”, Lobachevskii Journal of Mathematics., 43:6, Special issue Part 1: “Differential Equations and Mathematical Modeling” (Proceedings of the Conference “Differential Equations, Mathematical Modeling, and Computational Algorithms” (Belgorod, 2021)), Editor: S.M. Sitnik. (2022), 1417–1427https://link.springer.com/article/10.1134/S1995080222090256
45.
S. M. Sitnik, O. V. Skoromnik, S. A. Shlapakov, “Multi-Dimensional Generalized Integral Transform in the Weighted Spaces of Summable Functions.”, Lobachevskii Journal of Mathematics., 43:6, Special issue Part 1: “Differential Equations and Mathematical Modeling” (Proceedings of the Conference “Differential Equations, Mathematical Modeling, and Computational Algorithms” (Belgorod, 2021)), Editor: S.M. Sitnik (2022), 1408–1416https://link.springer.com/article/10.1134/S1995080222090244
Sergey M. Sitnik, Vladimir E. Fedorov, Nikolay V. Filin, Viktor A. Polunin, “On the Solvability of Equations with a Distributed Fractional Derivative Given by the Stieltjes Integral.”, Mathematics (MDPI), 10:16, This article belongs to the Special Issue Recent Advances in the Theory and Applications of Fractional Calculus (2022), 2979 , 20 pp. https://www.mdpi.com/2227-7390/10/16/2979
Hari M. Srivastava, Sana Mehrez, Sergei M. Sitnik, “Hermite-Hadamard-Type Integral Inequalities for Convex Functions and Their Applications.”, Mathematics (MDPI), 10:17, This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms. Guest editor for this Special Issue - S.M.Sitnik (2022), 3127 , 13 pp. https://www.mdpi.com/2227-7390/10/17/3127
Sergey M. Sitnik, Khristofor V. Yadrikhinskiy, Vladimir E. Fedorov, “Symmetry Analysis of a Model of Option Pricing and Hedging.”, Symmetry (MDPI), 14:9, This article belongs to the Special Issue Special Functions and Orthogonal Polynomials: Symmetry and Applications (2022), 1841 , 18 pp. https://www.mdpi.com/2073-8994/14/9/1841
Valeriy V. Katrakhov, Sergey M. Sitnik, Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations, (English translation by Professor A.B.Muravnik), arxiv.org, the World, 2022 , 207 pp. https://doi.org/10.48550/arXiv.2210.02246
Sitnik S.M., Shishkina E.L., “Retsenziya na monografiyu: V. V. Kravchenko, direct and inverse Sturm - Liouville problems. Springer, 2020, na angl. yazyke.(S kratkim ocherkom razvitiya teorii obratnykh zadach dlya uravneniya Shturma - Liuvillya)”, Prikladnaya matematika & Fizika, 53:1 (2021), 73–84http://maths-physics-journal.ru/index.php/journal/article/view/47/41
52.
D. K. Durdiev, E. L. Shishkina, S. M. Sitnik, “Fractional powers of Bessel operator and its numerical calculation”, Chelyab. fiz.-matem. zhurn., 6:2 (2021), 172–189
Elina Shishkina, Sergei Sitnik, Viktor Polunin, “On sharp bounds in the T. Lyonss neo-classical inequality, which is essential for the theory of stochastic differential equations”, Global and Stochastic Analysis, 8:2 (2021), 77–86https://www.mukpublications.com/gsa-vol-8-no-2-2021.php
55.
Shishkina E. L., Sitnik S. M., Jebabli I., “Application of Integral Transforms Composition Method (ITCM) to obtaining transmutations via integral transforms with Bessel functions in kernels”, Sibirskie elektronnye matematicheskie izvestiya, 18:2 (2021), 884–900http://semr.math.nsc.ru/v18/n2/a30-a43.pdf
S. M. Sitnik, E. L. Shishkina, “On two classes of operators of generalized fractional integro-differentiation”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 109–122
V. V. Kravchenko, S. M. Sitnik, “Some Recent Developments in the Transmutation Operator Approach”, Transmutation Operators and Applications. Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 3–9https://www.springer.com/gp/book/9783030359133
Sh. T. Karimov, S. M. Sitnik, “On Some Generalizations of the Properties of the Multidimensional Generalized Erdelyi–Kober Operators and Their Applications”, Transmutation Operators and Applications.Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 85–115https://www.springer.com/gp/book/9783030359133
61.
S. M. Sitnik , O. V. Skoromnik, “One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdelyi Type with Legendre Functions in Kernels”, Transmutation Operators and Applications.Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 293–319https://www.springer.com/gp/book/9783030359133
E. L. Shishkina, S. M. Sitnik, “Fractional Bessel Integrals and Derivatives on Semi-axes”, Transmutation Operators and Applications. Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 615–651https://www.springer.com/gp/book/9783030359133
S.M. Sitnik, A.S. Timashov, S.N. Ushakov, “Signal approximations by shifted Gaussians: a direct approach by finite linear systems”, Journal of Physics: Conference Series, 1479 (2020), 012046 , 9 pp. https://iopscience.iop.org/issue/1742-6596/1479/1 (In: Applied Mathematics, Computational Science and Mechanics: Current Problems 11-13, November 2019, Voronezh, Russian Federation)
S.M. Sitnik, O. Yaremko, N. Yaremko, “Transmutation Operators Boundary Value Problems”, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser Basel, Springer Nature Switzerland AG, Basel, 2020, 447–466https://www.springer.com/gp/book/9783030359133
S.M. Sitnik, V.I. Makovetsky, “Necessary Condition for the Existence of an Intertwining Operator and Classification of Transmutations on Its Basis”, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser Basel, Springer Nature Switzerland AG, Basel, 2020, 171-191https://www.springer.com/gp/book/9783030359133
67.
Sitnik S.M., “O sovremennykh issledovaniyakh po teorii operatorov preobrazovaniya i ikh prilozheniyakh k differentsialnym uravneniyam”, Sovremennye razdely teorii differentsialnykh uravnenii i smezhnykh razdelov matematiki (Fergana, Uzbekistan, 12-13 marta 2020 g.), Konferentsiya posvyaschena 70–letiyu A.K. Urinova, Ferganskii gosudarstvennyi universitet, 2020, 139–143
V. V. Kravchenko, S. M. Sitnik, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko, Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020 , XVII, 686 pp. https://www.springer.com/gp/book/9783030359133
S. M. Sitnik, E. L. Shishkina, Metod operatorov preobrazovaniya dlya differentsialnykh uravnenii s operatorami Besselya, Fizmatlit, Moskva, 2019 , 224 pp.
72.
A. B. Pevnyi, S. M. Sitnik, “Obobscheniya neravenstv M. G. Kreina, E. A. Gorina i Yu. V. Linnika dlya polozhitelno opredelennykh funktsii na mnogotochechnyi sluchai”, Sibirskie elektronnye matematicheskie izvestiya, 16 (2019), 263–270http://semr.math.nsc.ru/v16/p263-270.pdf
S.M. Sitnik, O.V. Skoromnik, S.A. Shlapakov, “Mnogomernoe obschee integralnoe preobrazovanie so spetsialnymi funktsiyami v yadre”, Vesnik VDU (Vestnik Vitebskogo gosudarstvennogo universiteta imeni P.M. Masherova), 3:104 (2019), 18-27https://vsu.by/vesnik-vdu/poslednij-vypusk.html
75.
Khaled Mehrez,· Sergei M. Sitnik, “Functional inequalities for the Fox-Wright functions”, The Ramanujan Journal, 50:2 (2019), 263–287https://link.springer.com/article/10.1007
Alexander Kuznetsov, Elina Shishkina, Sergey Sitnik, “Probabilistic Properties of Near-Optimal Trajectories of an Agent Moving Over a Lattice”, Journal of Optimization Theory and Applications, 182:2 (2019), 768–784https://link.springer.com/article/10.1007/s10957-018-1374-6
S.M. Sitnik, “Integral Transform Composition Method (ITCM) in transmutaion theory: how it works”, International Workshop on Transmutation operators and related topics IwTORT 2019 (Mexico, Queretero, CINVESTAV, 17-18.09.2019), Mexico, Queretero, CINVESTAV, Queretero, 2019, 17–18
81.
S.M. Sitnik, “Historical survey of transmutation theory: persons and result”, International Workshop on Transmutation operators and related topics IwTORT 2019 (Mexico, Queretero, CINVESTAV, 17-18.09.2019), Mexico, Queretero, CINVESTAV, Queretero, 2019, 16–17
82.
Sergei Sitnik, Shakhobiddin Karimov, “Integral Transforms Composition Method (ITCM) in Transmutation Theory”, Abstracts of plenary lectures, Abstracts of the 2nd International Conference on Mathematical Modelling in Applied Sciences, ICMMAS’19 (Belgorod State University (BSU), Belgorod, Russia, august 20-24), BSU, Belgorod-Russia & Alpha-Publishing, 2019, 7–8
2018
83.
S. M. Sitnik, E. L. Shishkina, “O drobnykh stepenyakh operatora Besselya na poluosi”, Sibirskie Elektronnye Matematicheskie Izvestiya, 15 (2018), 1–10http://semr.math.nsc.ru/v15/p1-10.pdf
Valeriy V. Katrakhov, Sergey M. Sitnik, “Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations”, English translation by Professor A.B.Muravnik, arxiv.org, 2022, 1–207https://doi.org/10.48550/arXiv.2210.02246
2018
86.
N. V. Zhukovskaya, S. M. Sitnik, “Euler type differential equations of fractional order”, Mathematical notes of NEFU, 25:2 (2018), 27–39
P.Agarwal, A.A. Korenovskii, S.M. Sitnik, “A Generalization of Cauchy–Bunyakovsky Integral Inequality Via Means with Max and Min Values”, Advances in Mathematical Inequalities and Applications, Trends in Mathematics, eds. P. Agarwal, S.S. Dragomir, M. Jleli, B. Samet, Birkhauser Basel, Springer Nature Singapore, 2018, 333-349https://www.springer.com/us/book/9789811330124
S. M. Sitnik, “Turan-type inequalities and their applications in probability”, Theory of Probability and its Applications (SIAM), 62:4 (2018), 665–666 , Abstracts of talks given at the 2nd international conference on stochastic methods https://epubs.siam.org/doi/abs/10.1137/S0040585X97T988861
2017
92.
D. S. Donchev, S. M. Sitnik, E. L. Shishkina, “On refinements of neo-classical inequality and its applications to stochastic differential equations and Brownian motion”, Chelyab. Fiz.-Mat. Zh., 2:3 (2017), 257–265
93.
I. G. Drovnikova, T. V. Meshcheryakova, A. D. Popov, E. A. Rogozin, S. M. Sitnik, “Mathematical model for estimating the efficiency of information security systems by means of Laplace transformation and Givens method”, Tr. SPIIRAN, 52 (2017), 234–259
94.
A. B. Pevnyi, S. M. Sitnik, “Modifitsirovannoe diskretnoe preobrazovanie Fure i ego spektralnye svoistva”, Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika, 4:25 (2017), 15–19https://syktsu.ru/_fac/math/vestnik/article/v25.pdf
E.L.Shishkina, S.M. Sitnik, “General form of the Euler-Poisson-Darboux equation and application of the transmutation method”, Electronic Journal of Differential Equations, 177 (2017), 1–20https://ejde.math.txstate.edu/Volumes/2017/177/abstr.html
97.
S.M. Sitnik, “A short survey of recent results on Buschman-Erdelyi transmutations”, Journal of Inequalities and Special Functions, 8:1, Special issue To honor Prof. Ivan Dimovskis contributions (2017), 140-157http://ilirias.com/jiasf/repository/docs/JIASF8-1-12.pdf
98.
E.L.Shishkina, S.M. Sitnik, “On fractional powers of Bessel operators”, Journal of Inequalities and Special Functions, 8:1, Special issue To honor Prof. Ivan Dimovskis contributions (2017), 49–67http://ilirias.com/jiasf/repository/docs/JIASF8-1-5.pdf
99.
Pevnyi A. B. , Sitnik S. M., “Neravenstva dlya polozhitelno opredelennykh funktsii nad polem kompleksnykh chisel”, Tezisy dokladov VI shkoly - konferentsii po algebraicheskoi geometrii i kompleksnomu analizu (g. Koryazhma Arkhangelskoi oblasti, Filial S(A)FU im. M. V. Lomonosova), Filial S(A)FU im. M. V. Lomonosova, Koryazhma Arkhangelskoi oblasti, Koryazhma, 2017, 59–60
100.
S.M. Sitnik, “Buschman-Erdelyi Transmutations and applications”, Abstracts of the 8th international conference "Transform Methods and Special Functions (Bulgaria, Sofia, 27-31.08 2017), Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 2017, 59
101.
S.M. Sitnik, “Applications of Buschman-Erdelyi Transmutations to Connection Formulas for Differential Equations with Singular Coefficients”, Abstracts of the 8th international conference "Differential and Functional Differential Equations (Moscow, 13-20.08.2017), RUDN University, Moscow, 2017, 169–170
2016
102.
S. M. Sitnik, Kh. Mekhrez, “Monotonnost otnoshenii nekotorykh gipergeometricheskikh funktsii”, Sib. elektron. matem. izv., 13 (2016), 260–268http://semr.math.nsc.ru/v13/p260-268.pdf
S. M. Sitnik, “Kraevye zadachi dlya uravnenii s osobennostyami v rabotakh V.V.Katrakhova”, Mezhdunarodnaya nauchnaya konferentsiya "Aktualnye problemy teorii uravnenii v chastnykh proizvodnykh. (Posvyaschaetsya pamyati akademika A.V.Bitsadze) (Moskva, 16–18 iyunya 2016 g.), MGU, 2016, 72
S. M. Sitnik, “Obobschenie neravenstva Koshi - Bunyakovskogo v terminakh maksimumov i minimumov funktsii”, Matematicheskii forum (Itogi nauki. Yug Rossii), 10:1 (2016), 79-98
107.
S. M. Sitnik, “A survey of Buschman — Erdelyi transmutations”, Chelyab. Fiz.-Mat. Zh., 1:4 (2016), 63–93
S. M. Sitnik, E. L. Shishkina, “On an identity for the iterated weighted spherical mean and its applications”, Sib. Èlektron. Mat. Izv., 13 (2016), 849–860
110.
Kh. Mehrez, S.M. Sitnik, “On monotonicity of ratios of some q-hypergeometric functions”, Matematicki Vesnik, 68:3 (2016), 225–231http://www.emis.de/journals/MV/163/8.html
111.
Sitnik S.M., Primenenie operatorov preobrazovaniya Bushmana–Erdeii i ikh obobschenii v teorii differentsialnykh uravnenii s osobennostyami v koeffitsientakh, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk. Spetsialnost 01.01.02 - differentsialnye uravneniya, dinamicheskie sistemy i optimalnoe upravlenie, Voronezhskii gosuniversitet, Voronezh, 2016 , 320 pp.
112.
S. M. Sitnik, “Means of C. Jini and applications of its inequalities in the polymer chemistry”, Applied Mathematics & Physics, 42:6 (2016), 83–86
113.
A. B. Pevnyi, S. M. Sitnik, Mat. Pros., 20, MCCME, Moscow, 2016, 135–142
S. M. Sitnik, A. S. Timashov, S. N. Ushakov, “Metod konechnomernykh priblizhenii v zadachakh kvadratichnoi eksponentsialnoi interpolyatsii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Matematika. Fizika., 17:40 (2015), 130–142
E. A. Kiselev, L. A. Minin, I. Ya. Novikov, S. M. Sitnik, “On the Riesz Constants for Systems of Integer Translates”, Math. Notes, 96:2 (2014), 228–238
119.
S. M. Sitnik, On the Correctness of the Main Theorem for Absolutely Monotonic Functions, http://rgmia.org/papers/v17/v17a106.pdf, RGMIA preprint, 2014 , 4 pp., RGMIA Research Report Collection, 17, Article 106, (http://arxiv.org/abs/1202.1210, 2012, updated 2014, 4 pp.)
2015
120.
A. B. Pevnyi, S. M. Sitnik, “On Gasparyan’s Inequality”, Journal Of Mathematical Sciences, 205:2 (2015), 304–307 , Springer
2014
121.
L.A. Minin, S.M. Sitnik, S.N. Ushakov, “Povedenie koeffitsientov uzlovykh funktsii, postroennykh iz ravnomernykh sdvigov funktsii Gaussa i Lorentsa”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika, Fizika, #7 (183):35 (2014), 214–217
2013
122.
S.M. Sitnik, “Buschman-Erdelyi transmutations, classification and applications”, Analytic Methods Of Analysis And Differential Equations: Amade 2012 (Minsk, 2012, AMADE), eds. M.V. Dubatovskaya, S.V. Rogosin, Cambridge Scientific Publishers, Cottenham, Cambridge, 2013, 171–201http://www.cambridgescientificpublishers.com/
123.
Sitnik S.M., Timashov A.S., “Raschet konechnomernoi matematicheskoi modeli v zadache kvadratichnoi eksponentsialnoi interpolyatsii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika, Fizika, 19 (162):32 (2013), 184–186
2012
124.
S. M. Sitnik, “Novye kraevye zadachi s K-sledom dlya reshenii s suschestvennymi osobennostyami v rabotakh V. V. Katrakhova”, Obratnye i nekorrektnye zadachi matematicheskoi fiziki, Mezhdunarodnaya konferentsiya, posvyaschennaya 80-letiyu so dnya rozhdeniya akademika Mikhaila Mikhailovicha Lavrenteva. (Novosibirsk, Rossiya, 5-12 avgusta 2012 g.), Tezisy dokladov, eds. chlen-korr. RAN V. G. Romanov, chlen-korr. RAN S. I. Kabanikhin, D. S. Anikonov, A. I. Kozhanov, Sibirskoe nauchnoe izdatelstvo, Novosibirsk, 2012, 439http://conf.nsc.ru/files/conferences/lavr80/139479/lavr12-20121007.pdf#page=439
125.
A. O. Vatulyan, V. A. Kabelkov, T. N. Kabelkova, S. B. Klimentov, A. I. Kondratenko, A. G. Kusraev, A. N. Nikiforov, A. E. Pasenchuk, V. A. Rodin, V. G. Safronenko, S. M. Sitnik, A. N. Tkachev, V. G. Fetisov, “Pamyati Aleksandra Nikolaevicha Kabelkova (1947–2011)”, Vladikavk. matem. zhurn., 14:2 (2012), 74–77
2011
126.
M. V. Zhuravlev, E. A. Kiselev, L. A. Minin and S. M. Sitnik, “Jacobi theta–functions and systems of integral shifts of Gaussian functions”, Journal of Mathematical Sciences, Springer, 173:2 (2011), 231–241http://link.springer.com/article/10.1007/s10958-011-0246-5
S. M. Sitnik, “On integral representation to solutions for a differential equation with singular coefficients”, Vladikavkaz. Mat. Zh., 12:4 (2010), 73–78
128.
Sitnik S.M., “O yavnykh realizatsiyakh drobnykh stepenei differentsialnogo operatora Besselya i ikh prilozheniyakh k differentsialnym uravneniyam”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 12:2 (2010), 69–75
129.
D.Karp, S.M.Sitnik, “Log-convexity and log-concavity of hypergeometric-like functions”, Journal of Mathematical Analysis and Applications, 364 (2010), P. 384-–394. , arXiv: 0902.3073v1
Sergei M. Sitnik, Transmutations and Applications: a Survey, 2010, 2012 , 141 pp., This is an extended version of originally published survey in the book: “Advances in Modern Analysis and Mathematical Modeling”. Editors: Yu.F.Korobeinik, A.G.Kusraev. Vladikavkaz: Vladikavkaz Scientific Center, of the Russian Academy of Sciences and Republic of North Ossetia–Alania, 2008. P. 226-293. (In Russian)., arXiv: 1012.3741
131.
M. V. Zhuravlëv, E. A. Kiselëv, L. A. Minin, S. M. Sitnik., “Teta–funktsii Yakobi i sistemy tselochislennykh sdvigov funktsii Gaussa”, Sovremennaya matematika i eë prilozheniya, 67 (2010), 107–116http://science.org.ge/cma/cma_r.html
132.
Sitnik S.M., “Operator preobrazovaniya spetsialnogo vida dlya differentsialnogo operatora s singulyarnym v nule potentsialom”, Neklassicheskie uravneniya matematicheskoi fiziki, Sbornik posvyaschen 65 - letiyu so dnya rozhdeniya professora Vladimira Nikolaevicha Vragova, eds. A.I.Kozhanov, Izdatelstvo instituta matematiki im. S.L.Soboleva SO RAN, Novosibirsk, 2010, 264–278
133.
S.M. Sitnik, Generalized Young and Cauchy-Bunyakowsky Inequalities with Applications: a survey, 2010 , 51 pp., arXiv: arXiv:1012.3864
2009
134.
D. Karp, S. M. Sitnik, “Inequalities and monotonicity of ratios for generalized hypergeometric function”, Journal of Approximation Theory, 161 (2009), 337–-352 , arXiv: math.CA/0703084
S. M. Sitnik, “Utochneniya i obobscheniya klassicheskikh neravenstv”, Itogi nauki. Yuzhnyi federalnyi okrug., "Matematicheskii forum. Issledovaniya po matematicheskomu analizu, eds. Yu. F. Korobeinik, A. G. Kusraev, Yuzhnyi matematicheskii institut VNTs RAN i RSO Alaniya, Vladikavkaz, 2009, 221–266 arXiv:1012.3864
136.
L. A. Minin, S. M. Sitnik, “O neravenstvakh dlya teta–funktsii Yakobi”, Chernozëmnyi almanakh nauchnykh issledovanii, Nomer, posvyaschënnyi 85-letiyu Ivana Aleksandrovicha Kipriyanova, Seriya “Fundamentalnaya matematika”, 1(8), izdatelstvo VGU, Voronezh, 2009, 234–311
Sitnik S.M., “Ob odnom trivialnom sposobe polucheniya neravenstv dlya srednikh velichin”, Sovremennaya matematika i problemy matematicheskogo obrazovaniya, Orlovskii gosudarstvennyi universitet, Orel, 2009, 89–94
2008
141.
S.M.Sitnik, “Operatory preobrazovaniya i ikh prilozheniya”, Obzor, Issledovaniya po sovremennomu analizu i matematicheskomu modelirovaniyu (Volgodonsk, 2007), eds. Korobeinik Yu. F., Kusraev A. G., Vladikavkazskii nauchnyi tsentr RAN i RSO–A., Vladikavkaz, 2008, C. 226–293.
S. M. Sitnik, “Spectral properties of modified discrete Fourier transforms”, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 4, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 95–97
145.
S. M. Sitnik, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 158–160
146.
D. Karp, A. Savenkova, S.M.Sitnik, “Series expansions for the third incomplete elliptic integral via partial fraction decompositions”, Journal of Computational and Applied Mathematics, 207, Proceedings of The Conference in Honour of Dr. Nico Temme on the Occasion of his 65th birthday:2 (2007), P. 331–337. , arXiv: math. CA/0410009/2004
S.M.Sitnik, “Kompyuternyi analiz spektralnykh svoistv modifitsirovannykh diskretnykh preobrazovanii Fure”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 9:1 (2007), C. 98–103.
148.
D.Karp, S.M.Sitnik, “Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity”, Journal of Computational and Applied Mathematics, 205 (2007), P. 186 – 206 , arXiv: math.CA/0604026
Naidyuk F.O., Pryadiev V.L., Sitnik S.M., “Opisanie profilei pryamoi i obratnoi voln dlya volnovogo uravneniya na otrezke s kraevymi usloviyami pervogo ili vtorogo roda - na odnom kontse i tretego roda ili prisoedinënnoi massy - na drugom”, Spetsialnyi vypusk: “Izbrannye trudy uchastnikov Voronezhskogo matematicheskogo seminara po matematicheskomu analizu, teorii funktsii i differentsialnym uravneniyam”, Chernozëmnyi almanakh nauchnykh issledovanii, 1(1), Seriya:"Fundamentalnaya matematika", Nauchnye redaktory: Minin L.A., Novikov I.Ya., Rodin V.A., Sitnik S.M. (2005), C. 53-68.
150.
S.M.Sitnik, “Obobscheniya neravenstv Koshi-Bunyakovskogo metodom srednikh znachenii i ikh prilozheniya”, Chernozëmnyi almanakh nauchnykh issledovanii, 1(1), Seriya:"Fundamentalnaya matematika", Spetsialnyi vypusk: “Izbrannye trudy uchastnikov Voronezhskogo matematicheskogo seminara po matematicheskomu analizu, teorii funktsii i differentsialnym uravneniyam” (2005), C. 3-42. (Nauchnye redaktory: Minin L.A., Novikov I.Ya., Rodin V.A., Sitnik S.M.)
2004
151.
S. M. Sitnik, A. S. Timashov, “Definition Of Multifocal Curves”, Proceedings of the All-Russian Scientific Conference (26–28 May 2004). Part 2, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2004, 246–249
152.
Sitnik S.M., “Ob obobschenii binominalnoi teoremy, voznikayuschem v teorii differentsialnykh uravnenii”, Vestnik Voronezhskogo instituta MVD Rossii, 2004, no. 1 (16), 143–147
S.M. Sitnik, “Obobscheniya neravenstv Koshi-Bunyakovskogo i ikh prilozheniya”, Bunyakovsky International Conference (Kyiv, August 16-21, 2004), inst. matematiki NAN Ukrainy, Kiev, 2004, 119-120
155.
S. M. Sitnik, D. B. Karp, E. V. Kostyuchenko., “Formuly dlya razlozheniya nekotorykh drobei na prosteishie i ikh primeneniya k spetsialnym funktsiyam.”, Vestnik Dalnevostochnoi gosudarstvennoi akademii ekonomiki i upravleniya, 4:32 (2004), 82–93 (Vladivostok.)
G.A. Antsiferova, S.M.Sitnik, “Nekotorye obobscheniya neravenstva Yunga”, Vestnik Voronezhskogo instituta MVD Rossii, 2(4) (1999), C. 161-164.
1998
159.
Sitnik S.M., Bulygin A.M., Koshlakov S.N., “Neravenstva o srednikh v kompleksnoi oblasti”, Nauchno-prakticheskaya konferentsiya Voronezhskoi Vysshei Shkoly MVD Rossii. Tezisy dokladov. Chast II (Voronezh, 1998), VI MVD, 1998, 6–7
1996
160.
D. S. Konovalova, S. M. Sitnik, “Formula Teilora dlya operatorov tipa Besselya”, Voronezhskaya vesennyaya matematicheskaya shkola Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17–23 aprelya 1996 g.), VGU, Voronezh, 1996, 102
161.
Sitnik S.M., “Neravenstva dlya ostatochnogo chlena ryada Teilora eksponentsialnoi funktsii”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, Voronezh, 1996, 165
162.
Sitnik S.M., “Metod polucheniya posledovatelnykh utochnenii neravenstva Koshi-Bunyakovskogo i ego primeneniya k otsenkam spetsialnykh funktsii”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, 1996, 164
163.
Konovalova D.S., Sitnik S.M., “Formula Teilora dlya operatorov tipa Besselya”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, 1996, 102
164.
S.M. Sitnik, “Refinements of the Bunyakovskii-Schwartz inequalities with applications to special functions estimates”, Conference in Mathematical Analysis and Applications in Honour of Lars Inge Hedbergs Sixtieth Birthday (Linkoping University, Sweden, June 10-15. 1996), Linkoping University, Sweden, 1996, 97
1995
165.
Sitnik S.M., “Inequalities for Bessel functions”, Dokl. Math. of the Russian Academy of Sciences, 51:1 (1995), 25–28
166.
Katrakhov V.V.; Sitnik S.M., “Estimates of the Jost solution to a one–dimensional Schrodinger equation with a singular potential”, Dokl. Math. , Russian Academy of Sciences, 51:1 (1995), 14–16
Volovich V.V., Minin L.A., Mordvinov V.V., Sitnik S.M., Formula Obreshkova i eë primenenie v teorii approksimatsii Pade, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 20 pp.
169.
Lyakhovetskii G.V., Sitnik S.M., Operatory preobrazovaniya Vekua-Erdeii-Laundesa, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 23 pp.
170.
Karp D.B., Sitnik S.M., Drobnoe preobrazovanie Khankelya i ego prilozheniya v matematicheskoi fizike, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 24 pp.
171.
S. M. Sitnik, Neravenstva dlya polnykh ellipticheskikh integralov Lezhandra, Preprint IAPU DVO RAN, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 17 pp.
1993
172.
S. M. Sitnik, Neravenstva dlya ostatochnogo chlena ryada Teilora eksponentsialnoi funktsii, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1993 , 30 pp., arXiv:1608.08784 (2016, updated)
1992
173.
Sitnik S.M., “Operatory Bushmana-Erdeii”, Differentsialnye i integralnye uravneniya. Matematicheskaya fizika i spetsialnye funktsii. Mezhdunarodnaya nauchnaya konferentsiya (24-31 maya 1992 g., g. Samara), eds. sostavitel N.Ya. Nikolaev, Samarskii gosuniversitet, 1992, 233–234
1991
174.
S. M. Sitnik, “Faktorizatsiya i otsenki norm v vesovykh lebegovykh prostranstvakh operatorov Bushmana–Erdeii”, (predstavlena akademikom S. M. Nikolskim), Doklady Akademii Nauk SSSR, 320:6 (1991), 1326–1330; S. M. Sitnik, “Factorization and estimates of the norms of Buschman-Erdelyi operators in weighted Lebesgue spaces”, Soviet Mathematics Doklades. Soviet Academy of Sciences,, 44:2 (1992), 641–646
S. M. Sitnik, Unitarnost i ogranichennost operatorov Bushmana-Erdeii nulevogo poryadka gladkosti, preprint, Institut avtomatiki i protsessov upravleniya DVO AN SSSR, Vladivostok, 1990 , 44 pp.
176.
Katrakhov V.V.; Sitnik S.M., “Factorization methods in the theory of transmutation operators”, Nonclassical equations and equations of mixed type, Collection of scientific works, Novosibirsk: Institut Matematiki SO AN SSSR, 1990, 104–122
1989
177.
Sitnik S.M., “Formuly sootvetstviya dlya modelnykh uravnenii s chastnymi proizvodnymi s osobennostyami”, Matematicheskoe modelirovanie v estestvoznanii i tekhnologii. Tezisy dokladov Vsesoyuznoi shkoly-seminara (Vladivostok, 14-21 sentyabrya 1989 g), eds. V.Yu. Subochev, IPM DVO RAN, 1989, 50–51
Sitnik S.M., Fadeev S.A., Ob odnoi pare operatorov preobrazovaniya, Rukopis deponirovana v VINITI 13.07.1988, N 5629-V88. Voronezhskii politekhnicheskii institut, 1988
1987
182.
Sitnik S.M., Metod operatorov preobrazovaniya dlya statsionarnogo uravneniya Shredingera, kand. fiz.–mat. nauk, Voronezhskii gosuniversitet, Voronezh, 1987 , 160 pp.
183.
Sitnik S.M., “Ob odnoi pare operatorov preobrazovaniya”, Kraevye zadachi dlya neklassicheskikh uravnenii matematicheskoi fiziki, eds. otvetstvennyi redaktor V.N. Vragov, IM SO RAN, Novosibirsk, 1987, 168–173
Sitnik S.M., O skorosti ubyvaniya reshenii nekotorykh ellipticheskikh i ultraellipticheskikh uravnenii, Rukopis deponirovana v VINITI 13.11.1986, N 7771-V86. 1986, Voronezhskii universitet, Voronezh. 19 s., 1986
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Sitnik S.M., Ob unitarnykh operatorakh preobrazovaniya, Rukopis deponirovana v VINITI 13.11.1986, N 7770-V86. 1986, Voronezhskii universitet, Voronezh. 9 s., 1986
1985
187.
Sitnik S.M., “O skorosti ubyvaniya reshenii statsionarnogo uravneniya Shredingera s potentsialom, zavisyaschim ot odnoi peremennoi”, Neklassicheskie uravneniya matematicheskoi fiziki, eds. otvetstvennyi redaktor V.N. Vragov, IM SO RAN, Novosibirsk, 1985, 139–147
1984
188.
Katrakhov V.V., Sitnik S.M., “A boundary–value problem for the steady-state Schrodinger equation with a singular potential”, Soviet Math. Dokl., 30:2 (1984), 468–470
1983
189.
S. M. Sitnik, “Kraevaya zadacha s integralnymi granichnymi usloviyami dlya odnogo klassa uravnenii s silnym vyrozhdeniem”, Materialy XXI Vsesoyuznoi nauchnoi studencheskoi konferentsii “Student i nauchno-tekhnicheskii progress”. Matematika. (Novosibirsk, 1983), NGU, 1983, 55–58
Воронежская школа по сингулярным дифференциальным уравнениям (к столетию И.А.Киприянова) S. M. Sitnik VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 17, 2023 17:10