Persons: Kachalov, Vasiliy Ivanovich

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Kachalov, Vasiliy Ivanovich

Statistics
in MathSciNet:	20 (20)
in zbMATH:	17 (17)
in Web of Science:	11 (11)
in Scopus:	15 (15)

Associate professor

Doctor of physico-mathematical sciences

E-mail:

Keywords:

perturbation of the spectrum, holomorphic families of operators, Banach algebra, equipped Banach space

https://www.mathnet.ru/eng/person63224

List of publications on Google Scholar

https://orcid.org/0009-0006-8658-6904

https://www.webofscience.com/wos/author/record/AAQ-8946-2021

https://www.scopus.com/authid/detail.url?authorId=55221343400

List of publications:

scientific publications

by years

by types

by times cited

common list

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

1.	A. Bobodzhanov, V. Safonov, V. Kachalov, “Asymptotic and Pseudoholomorphic Solutions of Singularly Perturbed Differential and Integral Equations in the Lomov’s Regularization Method”, Axioms, 8:27 (2019)	15 ^[x]
2.	V. I. Kachalov, “On the holomorphic regularization of singularly perturbed systems of differential equations”, Comput. Math. Math. Phys., 57:4 (2017), 653–660
3.	V. I. Kachalov, “On one method of solving singularly perturbed systems of Tikhonov's type”, Russian Math. (Iz. VUZ), 62:6 (2018), 21–26
4.	M. I. Besova, V. I. Kachalov, “Analytical Aspects of the Theory of Tikhonov Systems”, Mathematics, 10:1 (2022), 72 (Published online) , 14 pp. www.mdpi.com/2227-7390/10/1/72	6 ^[x]
5.	M. I. Besova, V. I. Kachalov, “Axiomatic Approach in the Analytic Theory of Singular Perturbations”, Axioms, 9:1 (2020), 9	5 ^[x]
6.	V. I. Kachalov, “On holomorphic regularization of strongly nonlinear singularly perturbed problems”, Ufa Math. J., 10:3 (2018), 35–42
7.	V. I. Kachalov, “On a method of holomorphic regularization of singularly perturbed problems”, Russian Math. (Iz. VUZ), 61:6 (2017), 44–50
8.	V. I. Kachalov, S. A. Lomov, “Pseudo-analytic solutions of singularly perturbed problems”, Dokl. Math., 49:1 (1994), 194–197
9.	V. I. Kachalov, D. A. Maslov, “Analyticity and Pseudo-Analyticity in the Small Parameter Method”, Computational Mathematics and Mathematical Physics, 63:11 (2023), 1996–2004
10.	V. I. Kachalov, S. A. Lomov, “Smoothness of the solutions of differential equations with respect to a singularly entering parameter”, Dokl. Math., 37:2 (1988), 465–467
11.	Kachalov V.I., “Pseudoholomorphic and ε-Pseudoregular Solutions of Singularly Perturbed Problems”, Differential Equations, 58:3 (2022), 357–366 (to appear)
12.	V. I. Kachalov, “Holomorphic Regularization of Boundary-Value Problems for Tikhonov Systems”, Journal of Mathematical Sciences, 268:1 (2022), 63-69	2 ^[x]
13.	M. I. Besova, V. I. Kachalov, “On a nonlinear differential equation in a Banach space”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 332–337
14.	V. I. Kachalov, Yu. S. Fedorov, “On the method of a small parameter in nonlinear mathematical physics”, Sib. Èlektron. Mat. Izv., 15 (2018), 1680–1686
15.	V. I. Kachalov, D. A. Maslov, “Small parameter method in the theory of Burgers-type equations”, Comput. Math. Math. Phys., 64:12 (2024), 2886–2892
16.	V. I. Kachalov, “ON ε-REGULAR SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER”, Siberian Mathematical Journal, 64:1 (2023), 93–101 (to appear)
17.	V. I. Kachalov, “Smoothness with respect to viscosity of the solutions of navier–stokes-type operator equations”, Comput. Math. Math. Phys., 59:1 (2019), 121–127
18.	V. I. Kachalov, “Poincare decomposition theorems and the Lomov regularization method”, Journal of Physics: Conference Series (8th International Conference on Mathematical Modeling in Physical Science), 1391:1 (2019), 012134	1 ^[x]
19.	V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarnykh vozmuschenii v banakhovom prostranstve”, Differentsialnye uravneniya, 54:6 (2018), 794–802	1 ^[x]
20.	V. I. Kachalov, M. I. Besova, “O golomorfnoi regulyarizatsii nelineinykh singulyarno vozmuschennykh kraevykh zadach”, Vestnik MEI, 2018, no. 4, 152–156	1 ^[x]
21.	V. I. Kachalov, “Teorema Tikhonova o predelnom perekhode i psevdogolomorfnye resheniya singulyarno vozmuschennykh zadach”, Doklady RAN, 458:6 (2014), 630–632	1 ^[x]
22.	V. I. Kachalov, D. A. Maslov, “Ob analiticheskikh resheniyakh zadach nelineinoi teorii vozmuschenii”, Sibirskie elektronnye matematicheskie izvestiya, 22:1 (2025), 457–464 (to appear)
23.	V. I. Kachalov, “Psevdoanaliticheskie resheniya singulyarno vozmuschennykh uravnenii v banakhovykh algebrakh”, Dokl. RAN. Matem., inform., prots. upr., 525:5 (2025), 57–61 (to appear)
24.	V. S. Besov, V. I. Kachalov, “Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations”, Differential Equations, 60:1 (2024), 1–11 (to appear)
25.	M. M. Arslanov, M. V. Zaitsev, A. A. Fomin, V. I. Kachalov, V. F. Safonov, P. A. Krylov, E. A. Timoshenko, A. R. Chekhlov, “Askar Akanovich Tuganbaev (k 70-letiyu so dnya rozhdeniya)”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2024, no. 87, 175–179
26.	M. I. Besova, V. I. Kachalov, D. A. Maslov, “Metod golomorfnoi regulyarizatsii sistemy differentsialnykh uravnenii ferment-substratnoi reaktsii”, Differentsialnye Uravneniya i Protsessy Upravleniya, 4 (2024), 33–52 (to appear)
27.	V. I. Kachalov, Osnovy analiticheskoi teorii vozmuschenii, Sputnik +, Moskva, 2024 , 176 pp.
28.	V. I. Kachalov, “Holomorphic Regularization of Boundary-Value Problems for Tikhonov Systems”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 173, 2019, 65–71
29.	V. I. Kachalov, “Analytic Theory of Singular Perturbations and Lomov’s Regularization Method”, Lecture Notes in Computer Science, 11386, Springer, 2019, 305–312
30.	V. I. Kachalov, “Differential equations with a small parameter in a banach space”: D. G. Sánchez, Understanding Banach Spaces, Nova Science Publishers, Inc., 2019, 415–428
31.	V. I. Kachalov, Yu. S. Fedorov, “Golomorfnaya regulyarizatsiya slabo nelineinykh singulyarno vozmuschennykh zadach”, Differentsialnye uravneniya i protsessy upravleniya, 2016, no. 3, 17–30
32.	V. I. Kachalov, “O golomorfnoi regulyarizatsii kraevykh zadach”, Vestnik MEI, 2015, no. 6, 145–147
33.	V. I. Kachalov, “Holomorphic in the parameter integrals of the second order equations perturbed singularly and limit theorems”, SPbSPU Journal. Physics and Mathematics, 2014, no. 2(194), 103–109
34.	V. I. Kachalov, “Kommutatsionnye sootnosheniya, gomomorfizmy i differentsialnye uravneniya”, Differentsialnye uravneniya, 50:1 (2014), 10–16
35.	V. I. Kachalov, “Ob algebraicheskikh osnovakh teorii singulyarnykh vozmuschenii”, Differentsialnye uravneniya, 49:3 (2013), 397–401
36.	V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennogo uravneniya vtorogo poryadka”, Vestnik MEI, 2013, no. 6, 95–103
37.	V. I. Kachalov, “Algebraicheskie osnovy teorii singulyarno vozmuschennykh uravnenii”, Doklady RAN, 443:1 (2012), 7–8
38.	V. I. Kachalov, “Psevdogolomorfnye resheniya singulyarno vozmuschennykh sistem differentsialnykh uravnenii”, Vestnik MEI, 2012, no. 6, 13–21
39.	V. I. Kachalov, “Golomorfizmy v teorii differentsialnykh uravnenii”, Differentsialnye uravneniya, 47:11 (2011), 1660–1661
40.	V. I. Kachalov, “Golomorfnye po parametru integraly singulyarno vozmuschennykh sistem”, Vestnik MEI, 2011, no. 8, 57–68
41.	V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennykh zadach”, Vestnik MEI, 2010, no. 6, 54–62
42.	V. I. Kachalov, “Smoothness of solutions of differential equations that contain a parameter”, Differ. Equ., 26:10 (1990), 1264–1268
43.	V. I. Kachalov, “Existence of solutions that are smooth with respect to the parameter for singularly perturbed equations”, Differ. Uravn., 26:9 (1990), 1641–1643
44.	V. I. Kachalov, S. A. Lomov, “Analytic properties of solutions of differential equations with singular points”, Dokl. Math., 39:1 (1989), 12–14
45.	V. I. Kachalov, “On analyticity with respect to a small parameter in perturbation theory”, Mat. Zametki (to appear)
46.	V. I. Kachalov, “On a nonlinear spectral problem”, Modern Methods of Theory of Boundary Value Problems. Pontryagin Readings — XXXV, CMFD, 71, no. 2, PFUR, M., 2025, 233–239
47.	V. I. Kachalov, “Smoothness in the viscosity of solutions of nonlinear differential equations in a Banach space”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 99–103

Organisations

National Research University "Moscow Power Engineering Institute"