Persons: Shkalikov, Andrei Andreevich

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Shkalikov, Andrei Andreevich

Statistics Math-Net.Ru
in MathSciNet:	131 (119)
in zbMATH:	105 (95)
in Web of Science:	80 (71)
in Scopus:	64 (60)

Corresponding member of RAS

Professor

Doctor of physico-mathematical sciences (1988)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

Birth date:

19.11.1949

E-mail:

https://www.mathnet.ru/eng/person12042

https://ru.wikipedia.org/wiki/Shkalikov,_Andrei_Andreevich

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/191769

https://elibrary.ru/author_items.asp?authorid=6914

ISTINA

https://istina.msu.ru/workers/1089092

https://orcid.org/0000-0002-9138-6628

https://www.webofscience.com/wos/author/record/H-9957-2016

https://www.scopus.com/authid/detail.url?authorId=6603116661

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	B. S. Kashin, V. K. Beloshapka, V. I. Bogachev, P. A. Borodin, P. V. Paramonov, K. Yu. Fedorovskiy, A. A. Shkalikov, “Research activity on the Chair of Theory of Functions and Functional Analysis”, Moscow University Mathematics Bulletin, 80:1 (2025), 42–55
2.	V. N. Sivkin, A. A. Shkalikov, Mat. Zametki, 118:2 (2025), 299–319
3.	A. A. Shkalikov, “А Spectral Problem for a Differential Operator with Involution”, Functional Analysis, Approximation Theory, and Related Topics, Collected papers. In commemoration of the 120th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 331, Steklov Math. Inst., Moscow, 2025 (to appear)

2024
4.	A. P. Kosarev, A. A. Shkalikov, “Asymptotic representations of solutions of $n\times n$ systems of ordinary differential equations with a large parameter”, Math. Notes, 116:2 (2024), 283–302
5.	A. P. Kosarev, A. A. Shkalikov, “Asymptotic expansions of solutions to $n \times n$ systems of ordinary differential equations with a large parameter”, Math. Notes, 116:6 (2024), 1312–1325
6.	A. V. Tikhonravov, A. A. Shkalikov, “Inverse Sturm–Liouville Problem and its application to inverse problems in thin film optics”, Num. Meth. Prog., 25:special issue (2024), 1–10
7.	V. S. Kobenko, A. A. Shkalikov, “Boundary value problems for ordinary differential equations with linear dependence on the spectral parameter”, Dokl. Math., 110:3 (2024), 506–510

2023
8.	N. N. Konechnaja, K. A. Mirzoev, A. A. Shkalikov, “Asymptotics of Solutions of Two-Term Differential Equations”, Math. Notes, 113:2 (2023), 228–242

2024
9.	A. A. Vladimirov, A. A. Shkalikov, “Oscillatory properties of selfadjoint boundary value problems of the fourth order”, St. Petersburg Math. J., 35:1 (2024), 83–100

2023
10.	A. P. Kosarev, A. A. Shkalikov, “Asymptotics in the Spectral Parameter for Solutions of $2 \times 2$ Systems of Ordinary Differential Equations”, Math. Notes, 114:4 (2023), 472–488

2022
11.	Ya. A. Granilshchikova, A. A. Shkalikov, “Spectral properties of a differential operator with involution”, Moscow University Mathematics Bulletin, 77:4 (2022), 204–208
12.	A. Yu. Anikin, S. Yu. Dobrokhotov, A. A. Shkalikov, “On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator”, Math. Notes, 112:5 (2022), 623–641
13.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5

2021
14.	A. A. Shkalikov, “Regular spectral problems for systems of ordinary differential equations of the first order”, Russian Math. Surveys, 76:5 (2021), 939–941
15.	A. A. Shkalikov, “Regular Spectral Problems of Hyperbolic Type for a System of First-Order Ordinary Differential Equations”, Math. Notes, 110:5 (2021), 806–810
16.	A. P. Kosarev, A. A. Shkalikov, “Spectral Asymptotics of Solutions of a $2\times 2$ System of First-Order Ordinary Differential Equations”, Math. Notes, 110:6 (2021), 967–971
17.	A. A. Vladimirov, A. A. Shkalikov, “On oscillation properties of self-adjoint boundary value problems of fourth order”, Dokl. Math., 103:1 (2021), 5–9
18.	P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157
19.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71

2020
20.	A. M. Savchuk, A. A. Shkalikov, “Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients”, Sb. Math., 211:11 (2020), 1623–1659
21.	O. V. Anashkin, E. M. Varfolomeev, V. I. Voytitsky, V. I. Donskoy, D. A. Zakora, A. B. Muravnik, M. A. Muratov, Yu. S. Pashkova, V. È. Petrov, E. V. Plokhaya, A. L. Skubachevskii, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, V. N. Chekhov, A. A. Shkalikov, A. I. Yakovlev, “Nikolay Dmitrievich Kopachevsky. March 25, 1940 — May 18, 2020”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 66, no. 2, PFUR, M., 2020, 157–159
22.	A. K. Motovilov, A. A. Shkalikov, “Preserving of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators”, Funktsional. Anal. i Prilozhen.

2019
23.	V. E. Vladykina, A. A. Shkalikov, “Spectral Properties of Ordinary Differential Operators with Involution”, Doklady Mathematics, 99:1 (2019), 5–10
24.	A. A. Shkalikov, “Basis Properties of Root Functions of Differential Operators with Spectral Parameter in the Boundary Conditions”, Diff. Equat., 55:5 (2019), 631–643
25.	V. E. Vladykina, A. A. Shkalikov, “Regular Ordinary Differential Operators with Involution”, Math. Notes, 106:5 (2019), 674–687

2020
26.	Yu. A. Alkhutov, V. F. Butuzov, V. V. Kozlov, A. A. Kon'kov, A. V. Mikhalev, E. I. Moiseev, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, I. N. Sergeev, M. D. Surnachev, R. N. Tikhomirov, V. N. Chubarikov, T. A. Shaposhnikova, A. A. Shkalikov, “Vasilii Vasilievich Zhikov”, J. Math. Sci. (N. Y.), 244:2 (2020), 113–115

2019
27.	A. A. Belyaev, A. A. Shkalikov, “Multipliers in Bessel potential spaces with smoothness indices of different sign”, St. Petersburg Math. Jour., 30:2 (2019), 203–218

2018
28.	N. N. Konechnaja, K. A. Mirzoev, A. A. Shkalikov, “On the Asymptotic Behavior of Solutions to Two-Term Differential Equations with Singular Coefficients”, Math. Notes, 104:2 (2018), 244–252
29.	S. N. Tumanov, A. A. Shkalikov, “Spectral portraits in the semi-classical approximation of the Sturm–Liouville problem with a complex potential”, 7th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2018 (Moscow, 2018, August 27-31), Journ. of Physics: Conf. series, 1141, 2018, 012155 , 14 pp.	4 ^[x]
30.	B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Russian Math. Surveys, 73:1 (2018), 161–167
31.	Yu. A. Alkhutov, I. V. Astashova, V. I. Bogachev, V. N. Denisov, V. V. Kozlov, S. E. Pastukhova, A. L. Piatnitski, V. A. Sadovnichii, A. M. Stepin, A. S. Shamaev, A. A. Shkalikov, “Vasilii Vasil'evich Zhikov (obituary)”, Russian Math. Surveys, 73:3 (2018), 533–542

2017
32.	A. M. Savchuk, A. A. Shkalikov, “Spectral Properties of the Complex Airy Operator on the Half-Line”, Funct. Anal. Appl., 51:1 (2017), 66–79
33.	D. V. Treschev, A. A. Shkalikov, “On the Hamiltonian Property of Linear Dynamical Systems in Hilbert Space”, Math. Notes, 101:6 (2017), 1033–1039
34.	A. K. Motovilov, A. A. Shkalikov, “Unconditional bases of subspaces related to non-self-adjoint perturbations of self-adjoint operators”, Eurasian Math. J., 8:1 (2017), 119–127	2 ^[x]
35.	A. A. Belyaev, A. A. Shkalikov, “Multipliers in Spaces of Bessel Potentials: The Case of Indices of Nonnegative Smoothness”, Math. Notes, 102:5 (2017), 632–644
36.	S. N. Tumanov, A. A. Shkalikov, “Eigenvalue dynamics of a $PT$-symmetric Sturm–Liouville operator and criteria for similarity to a self-adjoint or a normal operator”, Doklady Mathematics, 96:3 (2017), 607–611

2016
37.	V. L. Geynts, A. A. Shkalikov, “Estimate of the Ratio of Two Entire Functions whose Zeros Coincide in the Disk”, Math. Notes, 99:6 (2016), 870–878
38.	K. A. Mirzoev, A. A. Shkalikov, “Differential Operators of Even Order with Distribution Coefficients”, Math. Notes, 99:5 (2016), 779–784
39.	A. A. Shkalikov, “Perturbations of self-adjoint and normal operators with discrete spectrum”, Russian Math. Surveys, 71:5 (2016), 907–964
40.	A. A. Shkalikov, C. Trunk, “On Stability of Closedness and Self-Adjointness for $2\times 2$ Operator Matrices”, Math. Notes, 100:6 (2016), 870–875
41.	V. V. Zhikov, A. A. Shkalikov, “To the memory of Boris Moiseevich Levitan (on the 100th anniversary of his birth)”, Russian Math. Surveys, 71:3 (2016), 601–603

2015
42.	V. E. Vladikina, A. A. Shkalikov, “Asymptotics of the Solutions of the Sturm–Liouville Equation with Singular Coefficients”, Math. Notes, 98:6 (2015), 891–899
43.	S. N. Tumanov, A. A. Shkalikov, “The limit spectral graph in semiclassical approximation for the Sturm–-Liouville problem with complex polynomial potential”, Doklady Mathematics, 92:3 (2015), 773–777
44.	V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973

2014
45.	T. Kappeler, A. M. Savchuk, P. Topalov, A. A. Shkalikov, “Interpolation of Nonlinear Maps”, Math. Notes, 96:6 (2014), 957–964
46.	Math. Notes, 96:5 (2014), 777–810
47.	A. M. Savchuk, A. A. Shkalikov, “Recovering a Potential of Sturm-Liouville Problem from Finite Sets of Spectral Data”, American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences, 233 (2014), 211–224	3 ^[x]
48.	V. V. Zhikov, A. A. Shkalikov, “In memory of Boris Moiseevich Levitan (1914–2004)”, Trans. Moscow Math. Soc., 75 (2014), 87–88
49.	V. V. Aleksandrov, V. P. Karlikov, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Academician Viktor Antonovich Sadovnichii to 75th anniversary”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 3–5

2013
50.	A. M. Savchuk, A. A. Shkalikov, “On the Interpolation of Analytic Mappings”, Math. Notes, 94:4 (2013), 547–550
51.	J. Ben Amara, A. A. Vladimirov, A. A. Shkalikov, “Spectral and Oscillatory Properties of a Linear Pencil of Fourth-Order Differential Operators”, Math. Notes, 94:1 (2013), 49–59
52.	L. K. Kusainova, A. Zh. Monashova, A. A. Shkalikov, “Asymptotics of Eigenvalues of a Second-Order Non-Self-Adjoint Differential Operator on the Axis”, Math. Notes, 93:4 (2013), 629–632
53.	A. M. Savchuk, A. A. Shkalikov, “Uniform stability of the inverse Sturm–Liouville problem with respect to the spectral function in the scale of Sobolev spaces”, Proc. Steklov Inst. Math., 283 (2013), 181–196
54.	A. M. Vershik, A. A. Kirillov, V. F. Molchanov, Yu. A. Neretin, G. I. Olshanski, V. V. Ryzhikov, V. M. Tikhomirov, A. A. Shkalikov, “Rais Sal'manovich Ismagilov (on his 75th birthday)”, Russian Math. Surveys, 68:4 (2013), 783–788

2012
55.	A. A. Shkalikov, “Eigenvalue Asymptotics of Perturbed Self-adjoint Operators”, Methods of Functional Analysis and Topology, 18:1 (2012), 89–102

2010
56.	A. M. Savchuk, A. A. Shkalikov, “Inverse Problems for Sturm–Liouville Operators with Potentials in Sobolev Spaces: Uniform Stability”, Funct. Anal. Appl., 44:4 (2010), 270–285
57.	A. A. Shkalikov, “On the basis property of root vectors of a perturbed self-adjoint operator”, Proc. Steklov Inst. Math., 269 (2010), 284–298
58.	M. S. Agranovich, V. M. Buchstaber, R. S. Ismagilov, B. S. Kashin, B. S. Mityagin, S. P. Novikov, V. A. Sadovnichii, A. G. Sergeev, Ya. G. Sinai, A. A. Shkalikov, “Anatolii Gordeevich Kostyuchenko (obituary)”, Russian Math. Surveys, 65:4 (2010), 767–780

2009
59.	V. I. Pokotilo, A. A. Shkalikov, “Semiclassical Approximation for a Nonself-Adjoint Sturm–Liouville Problem with a Parabolic Potential”, Math. Notes, 86:3 (2009), 442–446
60.	O. A. Veliev, A. A. Shkalikov, “On the Riesz Basis Property of the Eigen- and Associated Functions of Periodic and Antiperiodic Sturm–Liouville Problems”, Math. Notes, 85:6 (2009), 647–660
61.	S. Albeverio, A.K. Motovilov and A.A. Shkalikov, “Bounds on variation of spectral subspaces under J-self-adjoint perturbations”, Integral Equations Operator Theory, 64:4 (2009), 455–486	16 ^[x]
62.	Zh.Ben Amara, A. A. Shkalikov, “Ostsillyatsionnye teoremy dlya zadach Shturma-Liuvillya s potentsialami-raspredeleniyami”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 64:3 (2009), 43–49	3 ^[x]
63.	A. A. Shkalikov, “Teoriya vozmuscheniya dlya tochek diskretnogo spektra dissipativnykh operator-funktsii”, Differentsialnye uravneniya, 45:4 (2009), 564–574
64.	A. A. Shkalikov, “Problemy invaritantnykh podprostranstv i faktorizatsii v teorii operatorov”, Tr. Mezhd. konferentsii, posvyaschennoi 85-letiyu L.D.Kudryavtseva, Izd-vo fiz.-techn. in-ta, Moskva, 2009, 137–154
65.	A. A. Shkalikov, “The papers of G.V.Radzievskii on completeness, minimality and basisness of root vectors of operator pencils. Ideas and developments”, Proceedings of Math. Inst. of Ukranian Acad. of Science, 6:1 (2009), 330–356
66.	V. V. Aleksandrov, V. P. Karlikov, A. G. Kostyuchenko, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Viktor Antonovitch Sadovnichii (to 70th anniversary of the birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3, 3–6

2008
67.	A. M. Savchuk, A. A. Shkalikov, “On the Properties of Maps Connected with Inverse Sturm–Liouville Problems”, Proc. Steklov Inst. Math., 260 (2008), 218–237

2007
68.	A. A. Shkalikov, “Dissipative Operators in the Krein Space. Invariant Subspaces and Properties of Restrictions”, Funct. Anal. Appl., 41:2 (2007), 154–167
69.	E. A. Shiryaev, A. A. Shkalikov, “Regular and Completely Regular Differential Operators”, Math. Notes, 81:4 (2007), 566–570
70.	A. A. Shkalikov, “Spectral analysis of the Redge problem.”, Journal of Mathematical Sciences, 144:4 (2007), 4292–4300	4 ^[x]

2006
71.	A. M. Savchuk, A. A. Shkalikov, “On the eigenvalues of the Sturm–Liouville operator with potentials from Sobolev spaces”, Math. Notes, 80:6 (2006), 814–832
72.	M .I. Neiman-zade and A. A. Shkalikov, “Strongly elliptic operators with singular coefficients”, Russ. J. Math. Phys., 13:1 (2006), 70–78	22 ^[x]
73.	A.G.Kostyuchenko, V.P.Maslov, V.A. Sadovnichii, I.S. Sargsyan, A.A.Shkalikov, V.V. Zhikov, “In memory of Boris Levitan”, Russ. J. Math. Phys., 13:1 (2006), 1–3	1 ^[x]

2005
74.	A. A. Shkalikov, “Invariant Subspaces of Dissipative Operators in a Space with Indefinite Metric”, Proc. Steklov Inst. Math., 248 (2005), 287–296
75.	A. M. Savchuk, A. A. Shkalikov, “Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra”, Russ. J. Math. Phys., 12:4 (2005), 507–514
76.	I. V. Astashova, L. A. Bagirov, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, O. B. Lupanov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Vladimir Aleksandrovich Kondrat'ev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5, 77–79

2004
77.	R. O. Hryniv, A. A. Shkalikov, “Exponential Decay of Solution Energy for Equations Associated with Some Operator Models of Mechanics”, Funct. Anal. Appl., 38:3 (2004), 163–172
78.	A. A. Shkalikov, “Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top.”, Functional analysis and its applications., Proceedings of the international conference, dedicated to the 110th anniversary of Stefan Banach (Lviv, Ukraine, May 28–31, 2002), North-Holland Mathematics Studies, 197, Elsevier Sci. B. V., Amsterdam, 2004, 273–286
79.	A. A. Shkalikov, “Spectral Portraits of the Orr–Sommerfeld Operator with Large Reynolds Numbers”, Journal of Mathematical Sciences, 124:6 (2004), 5417–5441

2003
80.	R. O. Hryniv, A. A. Shkalikov, “Exponential Stability of Semigroups Related to Operator Models in Mechanics”, Math. Notes, 73:5 (2003), 618–624
81.	A. A. Shkalikov, “Differential equations in a Hilbert space with dissipative symbols”, Jour. Math. Sci., 114:4 (2003), 1571–1588
82.	M. Marletta, A. A. Shkalikov and C. Tretter, “Pencils of differential operators containing the eigenvalue parameter in the boundary conditions”, Proc. Roy. Soc. Edinburgh Sect. A, 133:4 (2003), 893–917	14 ^[x]
83.	A. M. Savchuk, A. A. Shkalikov, “Sturm-Liouville operators with distribution potentials”, Translations of Moscow Mathematical Society, 64 (2003), 143–192
84.	T. D. Venttsel', V. S. Vladimirov, V. V. Zhikov, A. M. Il'in, V. A. Il'in, V. A. Kondrat'ev, L. D. Kudryavtsev, E. F. Mishchenko, S. M. Nikol'skii, Yu. S. Osipov, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, L. D. Faddeev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Ol'ga Arsen'evna Oleinik (obituary)”, Russian Math. Surveys, 58:1 (2003), 161–172

2002
85.	A. V. D'yachenko, A. A. Shkalikov, “On a Model Problem for the Orr–Sommerfeld Equation with Linear Profile”, Funct. Anal. Appl., 36:3 (2002), 228–232
86.	M. I. Neiman-Zade, A. A. Shkalikov, “On the computing of the eigenvalues of the Orr–Sommerfeld problem”, Fundam. Prikl. Mat., 8:1 (2002), 301–305
87.	S. N. Tumanov, A. A. Shkalikov, “On the limit behaviour of the spectrum of a model problem for the Orr–Sommerfeld equation with Poiseuille profile”, Izv. Math., 66:4 (2002), 829–856
88.	S. N. Tumanov, A. A. Shkalikov, “On the Spectrum Localization of the Orr–Sommerfeld Problem for Large Reynolds Numbers”, Math. Notes, 72:4 (2002), 519–526
89.	A. A. Shkalikov, J. Bak, “Multipliers in Dual Sobolev Spaces and Schrödinger Operators with Distribution Potentials”, Math. Notes, 71:5 (2002), 587–594
90.	A. A. Vladimirov, R. O. Griniv, A. A. Shkalikov, “Spektralnyi analiz periodicheskikh differentsialnykh operator-matrits smeshannogo poryadka”, Tr. Mosk. matem. ob-va, 63 (2002), 45–86

2001
91.	A. M. Savchuk, A. A. Shkalikov, “Trace Formula for Sturm–Liouville Operators with Singular Potentials”, Math. Notes, 69:3 (2001), 387–400
92.	M. I. Neiman-zade, A. M. Savchuk and A. A. Shkalikov, “Schrödinger operators with singular potentials”, Spectral and evolution problems (Sevastopol, 2000), 11, Natl. Taurida Univ. “V. Vernadsky”, Simferopol, 2001, 3–8
93.	A. G. Kostyuchenko and A. A. Shkalikov, “Scattering of waves by periodic gratings and factorization problems”, Recent advances in operator theory (Groningen, 1998), Oper. Theory Adv. Appl., 124, Birkhauser, Basel, 2001, 361–383
94.	A. A. Shkalikov, “Spectral analysis of the Regge problem”, Russ. J. Math. Phys., 8:3 (2001), 356–364

2000
95.	R. O. Hryniv, S. Yu. Dobrokhotov, A. A. Shkalikov, “An operator model for the oscillation problem of liquids on an elastic bottom”, Math. Notes, 68:1 (2000), 57–70
96.	R. O. Hryniv, A. A. Shkalikov and A. A. Vladimirov, “Differential operator matrices of mixed order with periodic coefficients”, Differential operators and related topics, Vol. I (Odessa, 1997), Oper. Theory Adv. Appl., 117, Birkhauser, Basel, 2000, 155–164

1999
97.	A. A. Shkalikov, “On the existence of invariant subspaces of dissipative operators in space with indefinite metric”, Fundam. Prikl. Mat., 5:2 (1999), 627–635
98.	A. M. Savchuk, A. A. Shkalikov, “Sturm–Liouville operators with singular potentials”, Math. Notes, 66:6 (1999), 741–753
99.	M. I. Neiman-Zade, A. A. Shkalikov, “Schrödinger operators with singular potentials from spaces of multipliers”, Math. Notes, 66:5 (1999), 599–607
100.	J. Ben Amara, A. A. Shkalikov, “A Sturm–Liouville problem with physical and spectral parameters in boundary conditions”, Math. Notes, 66:2 (1999), 127–134
101.	R. O. Griniv, A. A. Shkalikov, “Operatornye modeli v teorii uprugosti i gidrodinamiki”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1999, no. 5, 5–14	4 ^[x]

1998
102.	A. G. Kostyuchenko, A. A. Shkalikov, M. Yu. Yurkin, “On the Stability of a Top with a Cavity Filled with a Viscous Fluid”, Funct. Anal. Appl., 32:2 (1998), 100–113
103.	A. A. Shkalikov, “Factorization of elliptic pencils and the Mandelstam hypothesis”, Contributions to operator theory in spaces with an indefinite metric (Vienna, 1995), Oper. Theory Adv. Appl., 106, Birkhauser, Basel, 1998, 355–387
104.	R. Mennicken, H. Schmid and A. A. Shkalikov, “On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter”, Math. Nachr., 189 (1998), 157–170	37 ^[x]
105.	A. A. Shkalikov, “Kak opredelit operator Orra-Zommerfelda?”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 53:4 (1998), 36–43	3 ^[x]

1997
106.	A. A. Shkalikov, “The limit behavior of the spectrum for large parameter values in a model problem”, Math. Notes, 62:6 (1997), 796–799

1996
107.	A. A. Shkalikov, “Operator pencils arising in elasticity and hydrodynamics: the instability index formula”, Recent developments in operator theory and its applications (Winnipeg, MB, 1994), Oper. Theory Adv. Appl., 87, Birkhauser, Basel, 1996, 358–385 http://istina.msu.ru/media/publications/article/226/775/4696607/Operator_Pencils_OpTh87.pdf
108.	A. A. Shkalikov and C. Tretter, “Spectral analysis for linear pencils $ N -\lambda P$ of ordinary differential operators”, Math. Nachr., 179 (1996), 275–305 (to appear)	47 ^[x]
109.	R. Mennicken and A. A. Shkalikov, “Spectral decomposition of symmetric operator matrices”, Math. Nachr., 179 (1996), 259–273	43 ^[x]

1995
110.	A. A. Shkalikov, “On the essential spectrum of matrix operators”, Math. Notes, 58:6 (1995), 1359–1362
111.	R. Mennicken, H. Schmid and A. A. Shkalikov, “Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities”, Proceedings Int. Congress MTNS (Hamburg, 1993), Regensburg, 1995, 345–357
112.	A. A. Shkalikov, “Boundary valkue problems with the spectral parameter in the boundary conditions”, Proceedings Int. Congress MTNS (Hamburg, 1993), Regensburg, 1995, 547–558

1994
113.	A. A. Shkalikov, R. O. Hryniv, “On an operator pencil arising in the problem of beam oscillation with internal damping”, Math. Notes, 56:2 (1994), 840–851
114.	P. Lancaster and A. Shkalikov, “Damped vibrations of beams and related spectral problems”, Canad. Appl. Math. Quart., 2:1 (1994), 45–90
115.	F. V. Atkinson, H. Langer, R. Mennicken, and A. A. Shkalikov, “The essential spectrum of some matrix operators”, Math. Nachr., 167 (1994), 5–20	150 ^[x]
116.	A. A. Shkalikov and C. Tretter,, “Kamke problems. Properties of the eigenfunctions”, Math. Nachr., 170 (1994), 251–275	21 ^[x]
117.	A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya”, UMN, 49:4 (1994), 165–166

1993
118.	A. A. Shkalikov, “On the property of being a basis, for the eigenfunctions of a problem on antiplanar oscillations of a cylinder with external friction”, Math. Notes, 53:2 (1993), 223–234
119.	P. Lancaster, A. Shkalikov and Q. Ye, “Strongly definitizable linear pencils in Hilbert space”, Integral Equations Operator Theory, 17:3 (1993), 338–360	36 ^[x]
120.	A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya: izvestnoe i neizvestnoe”, UMN, 48:4(292) (1993), 210 http://www.mathnet.ru/links/c29f3ad924fe503997e8c6c6c41604c3/rm1456.pdf

1991
121.	A. A. Shkalikov, “The problem on the steady-state oscillations of a transversally isotropic semicylinder with a free boundary”, Funct. Anal. Appl., 25:2 (1991), 155–158

1992
122.	A. A. Shkalikov, A. V. Shkred, “The problem of steady-state oscillations of a transversally isotropic half-cylinder”, Math. USSR-Sb., 73:2 (1992), 579–602

1989
123.	A. A. Shkalikov, V. T. Pliev, “Compact perturbations of strongly damped operator pencils”, Math. Notes, 45:2 (1989), 167–174
124.	A. A. Shkalikov, “Ellipticheskie uravneniya v gilbertovom prostranstve i spektralnye zadachi, svyazannnye s nimi”, Trudy sem. im. I.G.Petrovskogo, 14 (1989), 140–224
125.	A. A. Shkalikov, “Obosnovanie gipotezy Mandelshtama dlya volnoveduschikh sistem”, Byulleten Sib. matematichenskogo obschestva, 1989, 18-81
126.	A. A. Shkalikov, “O faktorizatsii elliptiicheskikh puchkov i vychislenii koeffitsientov razlozheniya po sobstvennym elementam faktorov”, UMN, 44:4 (1989), 189-190
127.	A. A. Shkalikov, “Strongly damped pencils of operators and solvability of the corresponding operator-differential equations”, Math. USSR-Sb., 63:1 (1989), 97–119

1988
128.	A. A. Shkalikov, “O printsipakh otbora i svoistvakh chasti sobstvennykh i prisoedinennykh elementov puchkov operatorov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1988, no. 4, 16–25	4 ^[x]

1987
129.	A. A. Shkalikov, “O printsipakh otbora i svoistvakh sobstvennykh i prisoedinennykh elementov puchkov operatorov”, UMN, 42:4 (1987), 127–128	13 ^[x]
130.	A. A. Shkalikov, “O postanovke i razreshimosti zadach dlya uravneniya volnovoda v polutsilindre”, UMN, 42:5 (1987)

1986
131.	A. A. Shkalikov, “O minimalnosti i polnote sobstvennykhelementov puchkov operatorov vysokogo poryadka”, KhI Vsesoyuznaya shkola po teorii operatorov v funktsionalnykh prostranstvakh, Chelyabinsk, 1986, 78-79
132.	A. A. Shkalikov, “Puchki operatorov s dissipativnymi koeffitsientami i sootvetstvuyuschipe im uravneniya v gilbertovom prostranstve”, Vsesoyuznaya konferentsiya “Differentsialnye operatory i ikh prilozheniya” (Fshkhadad), 1986, 121–122

1985
133.	A. A. Shkalikov, “O polnote i minimalnosti sobstvennykh funktsii zadachi Redzhe”, Teoriya veroyatnostei , teoriya sluchainykh protsessov i funktsionalnyi analiz, Izd-vo MGU, 1985, 167–172
134.	A. A. Shkalikov, “On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils”, Doklady Mathematics, 32:1 (1985), 298–304 http://istina.msu.ru/media/publications/article/0db/066/19490295/eng_SovietMathDokl_Vol321_1985.pdf
135.	A. A. Shkalikov, “O minimalnosti proizvodnykh tsepochek, otvechayuschikh chasti sobstvennykh i prisoedinennykh elementov samosopryazhennnykh puchkov operatorov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1985, no. 6, 10–19 http://istina.msu.ru/media/publications/article/4ee/9bd/4688220/VestnikMGU_6_1985.pdf	1 ^[x]
136.	A. A. Shkalikov, “On minimality and completeness of systems constructed from some of the eigen- and associated elements of quadratic operator pencils”, Doklady Mathematics, 32:3 (1985), 902–907 http://istina.msu.ru/media/publications/article/1da/220/19490338/eng_Soviet_MathDokl_V323_1985.pdf
137.	A. A. Shkalikov, “Theorems of Tauberian type on the distribution of zeros of holomorphic functions”, Math. USSR-Sb., 51:2 (1985), 315–344

1984
138.	A. A. Shkalikov, “Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution”, Transactions of the American Mathematical Society, 281:1 (1984), 49–63 http://istina.msu.ru/media/publications/article/4f7/348/4688257/eng_Trans_of_the_Amer_Math_Soc_Vol2811_1984.pdf	2 ^[x]
139.	A. A. Shkalikov, “Operator differential equations on a semiaxes and related spectral problems for selfadjoint pencils of operators”, Doklady Mathematics, 29:3 (1984), 511–516 http://istina.msu.ru/…/eng_SovietMatDokl_Vol293_1984.pdf
140.	A. A. Shkalikov, “O bazisnosti sobstvennykh vektorov obyknovennykh differentsialnykh operatorov v prostranstve vektor-funktsii”, Funktsionalnyi analiz i ego prilozheniya v mekhanike i teorii veroyatnostei., Izd-vo MGU, 1984, 78–80
141.	A. G. Kostyuchenko, A. A. Shkalikov, “K spektralnoi teorii kvadratichnykh puchkov operatorov”, UMN, 39:4 (1984), 106–107	25 ^[x]
142.	A. A. Shkalikov, “Operatorno-differentsialnye uravneniya na poluosi i svyazannye s nimi spektralnye zadachi dlya polinomialnykh puchkov operatorov”, UMN, 39:4 (1984), 106 http://istina.msu.ru/media/publications/article/4ed/9b4/4688251/DAN_t2762_1984.pdf

1983
143.	A. G. Kostyuchenko, A. A. Shkalikov, “Self-adjoint quadratic operator pencils and elliptic problems”, Funct. Anal. Appl., 17:2 (1983), 109–128
144.	A. A. Shkalikov, “Some problems in the theory of polynomial operator pencils”, Russian Math. Surveys, 38:3 (1983), 151–152
145.	A. A. Shkalikov, “Kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii s parametrom v granichnykh usloviyakh”, Tr. seminara im. I. G. Petrovskogo, 9 (1983), 140–179
146.	A. A. Shkalikov, “K spektralnoi teorii obyknovennykh differentsialnykh operatorov”, UMN, 38:5 (1983), 234–238
147.	A. A. Shkalikov, “On estimates of meromorphic functions and summation of series in the root vectors of nonselfadjoint operators”, Doklady Mathematics, 27:1 (1983), 259–263 http://istina.msu.ru/media/publications/article/8d0/6b5/19490302/eng_SovietMathDokl_Vol271_1983.pdf
148.	A. A. Shkalikov, “K teorii summirovaniya ryadov po kornevym vektoram nesamosopryazhennykh operatorov”, Nekotorye voprosy matematiki i mekhaniki, Izd-vo MGU, 1983, 67–69
149.	A. G. Kostyuchenko, A. A. Shkalikov, “K teorii samosopryazhennykh operatornykh puchkov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1983, no. 6, 40–51	1 ^[x]

1982
150.	A. A. Shkalikov, “Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions”, Funct. Anal. Appl., 16:4 (1982), 324–236
151.	A. A. Shkalikov, “O bazisnosti sobstvennykh funktsii obyknovennykh differentsialnykh operatorov s integralnymi kraevymi usloviyami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1982, no. 6, 12–21	34 ^[x]
152.	A. A. Shkalikov, “Razlozhenie po sobstvennym funktsiyam v ploskoi zadache teorii uprugosti”, Korrektnye zadachi uravnenii neklassicheskoi fiziki, Novosibirsk, 1982
153.	A. A. Shkalikov, “Theorems of tauberian type of the distribution of the zeros of holomorphic functions”, Doklady Mathematics, 26:3 (1982), 785-788 http://istina.msu.ru/media/publications/article/625/faf/19490305/eng_SovietMathDokl_Vol263_1982.pdf
154.	A. A. Shkalikov, “Estimates of meromorphic functions and summability theorems”, Pacific Jour. of Math., 103:2 (1982), 569–582	7 ^[x]
155.	A. A. Shkalikov, “Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 6, 12–21

1981
156.	A. A. Shkalikov, “Property of the eigenvectors of quadratic operator pencils of being a basis”, Math. Notes, 30:3 (1981), 676–684
157.	A. A. Shkalikov, “O bazisnosti sobstvennykh funktsii kvadratichnykh puchkov operatorov”, Nekotorye voprosy matematiki i mekhaniki, Izd-vo MGU, 1981, 62-65
158.	A. A. Shkalikov, “Teoremy tauberova tipa o raspredelenii nulei golomorfnykh funktsii”, UMN, 36:4 (1981)

1979
159.	A. A. Shkalikov, “On the basis problem of the eigenfunctions of an ordinary differential operator”, Russian Math. Surveys, 34:5 (1979), 249–250
160.	A. A. Shkalikov, “Otsenki meromorfnykh funktsii i teoremy summiruemosti”, UMN, 34:4 (1979), 138-139

1978
161.	A. G. Kostyuchenko, A. A. Shkalikov, “Summability of eigenfunction expansions of differential operators and convolution operators”, Funct. Anal. Appl., 12:4 (1978), 262–276

1976
162.	A. A. Shkalikov, “The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions”, Funct. Anal. Appl., 10:4 (1976), 305–316
163.	M. B. Orazov, A. A. Shkalikov, “The property of being an $n$-multiple basis of eigenfunctions of certain regular boundary value problems”, Siberian Math. J., 17:3 (1976), 483–492

1975
164.	A. A. Shkalikov, “A system of functions”, Math. Notes, 18:6 (1975), 1097–1100

Presentations in Math-Net.Ru

1.	The problem of correctly defining differential operators with distribution coefficients A. A. Shkalikov V. I. Smirnov Seminar on Mathematical Physics April 7, 2025 15:00
2.	The problem of correct definition of differential operators with distributions coefficients A. A. Shkalikov International scientific workshop OTHA Fall 2024 on operator theory and harmonic analysis and their applications December 16, 2024 10:00
3.	Задача о корректном определении дифференциальных операторов с коэффициентами-распределениями A. A. Shkalikov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 20, 2024 16:00
4.	Operators, Generated by the First Order Differential Systems A. A. Shkalikov 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 10:00
5.	Spectral Asymptotics for the Systems of Differential Equations and Applications A. A. Shkalikov Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov May 30, 2023 10:00
6.	Differential equations and operator pencils in Hilbert space A. A. Shkalikov International scientific workshop OTHA Spring 2023 on operator theory and harmonic analysis and their applications April 19, 2023 11:05
7.	Factorization of quadratic operator pencils and Mandelstam conjecture A. A. Shkalikov One-Parameter Semigroups of Operators (OPSO 2023) February 28, 2023 11:00
8.	The Instability Index Formula. Application to the Sobolev problem on a rotating top filled with a viscous fluid A. A. Shkalikov Joint Mathematical seminar of Saint Petersburg State University and Peking University December 29, 2022 15:00
9.	Дифференциальные операторы с сингулярными коэффициентами A. A. Shkalikov Differential equations, analysis and control: theory and applications March 2, 2020 18:30
10.	Инвариантные подпространства, факторизация и смежные темы в теории операторов A. A. Shkalikov Seminar on Theory of Functions of Real Variables February 21, 2020 18:30
11.	Differential operators with distribution coefficients A. A. Shkalikov Steklov Mathematical Institute Seminar October 31, 2019 16:00
12.	Аналитические методы в теории возмущений самосопряженных или нормальных операторов A. A. Shkalikov International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 17, 2019 11:05
13.	Analytical methods in problems of completeness of eigenfunctions of differential operators A. A. Shkalikov Seminar on Complex Analysis (Gonchar Seminar) March 25, 2019 17:00
14.	The limiting spectral graph in the quasiclassical approximation for a non-selfadjoint Sturm-Liouville problem A. A. Shkalikov Complex analysis and mathematical physics April 10, 2018 16:00
15.	Спектральные портреты и динамика собственных значений операторов Штурма-Лиувилля с малым или большим физическим параметром A. A. Shkalikov Seminar on Theory of Functions of Real Variables March 23, 2018 18:30
16.	РТ-симметрические операторы Штурма-Лиувилля с физическим параметром A. A. Shkalikov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS March 22, 2018 11:00
17.	Локализация и динамика собственных значений для несамосопряженных операторов Штурма-Лиувилля с малым параметром A. A. Shkalikov Differential equations, analysis and control: theory and applications March 12, 2018 18:25
18.	Spectral portraits for non-self-adjoint Sturm-Liouville operators with a physical parameter A. A. Shkalikov Complex analysis and mathematical physics October 31, 2017 16:00
19.	Analytic problems arising in the study of $PT$-Symmetric Sturm–Liouville Operators A. A. Shkalikov International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 10, 2017 15:50
20.	Дифференциальные операторы с сингулярными коэффициентами A. A. Shkalikov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 9, 2016 16:00
21.	Perturbations of positive operators with discrete spectrum. Analytical aspects A. A. Shkalikov Seminar on Complex Analysis (Gonchar Seminar) October 17, 2016 17:00
22.	Differential Operators with Singular Coeffcients A. A. Shkalikov Ufa International Mathematical Conference September 27, 2016
23.	Аналитические проблемы подобия PT-симметричных гамильтонианов самосопряженным A. A. Shkalikov International conference «Selected topics of function theory» dedicated to the 70th anniversary of Eugenie M. Nikishin September 11, 2015 15:10
24.	The limit spectral graph and eingenvalue asymptotic distribution of the Sturm-Liouville problem with polynomical potential A. A. Shkalikov, S. N. Tumanov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 29, 2015 11:40
25.	Система Дирака с негладким потенциалом A. M. Savchuk, A. A. Shkalikov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 27, 2015 16:40
26.	Обратная задача Штурма–Лиувилля за 60 лет A. A. Shkalikov I. M. Gelfand and Modern Mathematics December 19, 2013 12:30
27.	Non-selfadjoint perturbations of selfadjoint operators. Spectral asymptotics and properties of the eigenfunctions A. A. Shkalikov Seminar on Complex Analysis (Gonchar Seminar) November 14, 2011 18:00
28.	Direct and inverse spectral problems for the Sturm–Liouville operator in scales of Sobolev spaces A. A. Shkalikov Sixth International Conference on Differential and Functional Differential Equations DFDE-2011 August 17, 2011 12:00
29.	О возмущении самосопряженных операторов с дискретным спектром и свойства собственных функций A. A. Shkalikov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics April 27, 2011 16:00
30.	Спектральные портреты оператора Ора–Зоммерфельда A. A. Shkalikov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS June 2, 2005

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