Persons RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB     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. V. I. Kachalov, “On analyticity with respect to a small parameter in perturbation theory”, Mat. Zametki (to appear)      2025 2. V. I. Kachalov, D. A. Maslov, “Ob analiticheskikh resheniyakh zadach nelineinoi teorii vozmuschenii”, Sibirskie elektronnye matematicheskie izvestiya, 22:1 (2025), 457–464 (to appear)   3. 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     4. V. I. Kachalov, “Psevdoanaliticheskie resheniya singulyarno vozmuschennykh uravnenii v banakhovykh algebrakh”, Dokl. RAN. Matem., inform., prots. upr., 525:5 (2025), 57–61 (to appear)      2024 5. V. S. Besov, V. I. Kachalov, “Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations”, Differential Equations, 60:1 (2024), 1–11 (to appear)     6. 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       7. 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         8. 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)   9. V. I. Kachalov, Osnovy analiticheskoi teorii vozmuschenii, Sputnik +, Moskva, 2024 , 176 pp.    2023 10. V. I. Kachalov, “ON ε-REGULAR SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER”, Siberian Mathematical Journal, 64:1 (2023), 93–101 (to appear)       11. 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            2022 12. 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] 13. Kachalov V.I., “Pseudoholomorphic and ε-Pseudoregular Solutions of Singularly Perturbed Problems”, Differential Equations, 58:3 (2022), 357–366 (to appear)       14. V. I. Kachalov, “Holomorphic Regularization of Boundary-Value Problems for Tikhonov Systems”, Journal of Mathematical Sciences, 268:1 (2022), 63-69     2 [x]    2021 15. 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     16. M. I. Besova, V. I. Kachalov, “On a nonlinear differential equation in a Banach space”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 332–337            2020 17. M. I. Besova, V. I. Kachalov, “Axiomatic Approach in the Analytic Theory of Singular Perturbations”, Axioms, 9:1 (2020), 9       5 [x]    2019 18. 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                 19. 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     20. 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] 21. V. I. Kachalov, “Analytic Theory of Singular Perturbations and Lomov’s Regularization Method”, Lecture Notes in Computer Science, 11386, Springer, 2019, 305–312         22. 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] 23. 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      2018 24. V. I. Kachalov, “On one method of solving singularly perturbed systems of Tikhonov's type”, Russian Math. (Iz. VUZ), 62:6 (2018), 21–26               25. 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             26. V. I. Kachalov, “On holomorphic regularization of strongly nonlinear singularly perturbed problems”, Ufa Math. J., 10:3 (2018), 35–42           27. V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarnykh vozmuschenii v banakhovom prostranstve”, Differentsialnye uravneniya, 54:6 (2018), 794–802       1 [x] 28. V. I. Kachalov, M. I. Besova, “O golomorfnoi regulyarizatsii nelineinykh singulyarno vozmuschennykh kraevykh zadach”, Vestnik MEI, 2018, no. 4, 152–156   1 [x]    2017 29. V. I. Kachalov, “On a method of holomorphic regularization of singularly perturbed problems”, Russian Math. (Iz. VUZ), 61:6 (2017), 44–50             30. V. I. Kachalov, “On the holomorphic regularization of singularly perturbed systems of differential equations”, Comput. Math. Math. Phys., 57:4 (2017), 653–660                      2016 31. V. I. Kachalov, Yu. S. Fedorov, “Golomorfnaya regulyarizatsiya slabo nelineinykh singulyarno vozmuschennykh zadach”, Differentsialnye uravneniya i protsessy upravleniya, 2016, no. 3, 17–30        2015 32. V. I. Kachalov, “O golomorfnoi regulyarizatsii kraevykh zadach”, Vestnik MEI, 2015, no. 6, 145–147      2014 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, “Teorema Tikhonova o predelnom perekhode i psevdogolomorfnye resheniya singulyarno vozmuschennykh zadach”, Doklady RAN, 458:6 (2014), 630–632       1 [x]    2013 36. V. I. Kachalov, “Ob algebraicheskikh osnovakh teorii singulyarnykh vozmuschenii”, Differentsialnye uravneniya, 49:3 (2013), 397–401       37. V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennogo uravneniya vtorogo poryadka”, Vestnik MEI, 2013, no. 6, 95–103    2012 38. V. I. Kachalov, “Algebraicheskie osnovy teorii singulyarno vozmuschennykh uravnenii”, Doklady RAN, 443:1 (2012), 7–8     39. V. I. Kachalov, “Psevdogolomorfnye resheniya singulyarno vozmuschennykh sistem differentsialnykh uravnenii”, Vestnik MEI, 2012, no. 6, 13–21      2011 40. V. I. Kachalov, “Golomorfizmy v teorii differentsialnykh uravnenii”, Differentsialnye uravneniya, 47:11 (2011), 1660–1661   41. V. I. Kachalov, “Golomorfnye po parametru integraly singulyarno vozmuschennykh sistem”, Vestnik MEI, 2011, no. 8, 57–68      2010 42. V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennykh zadach”, Vestnik MEI, 2010, no. 6, 54–62      1994 43. V. I. Kachalov, S. A. Lomov, “Pseudo-analytic solutions of singularly perturbed problems”, Dokl. Math., 49:1 (1994), 194–197          1990 44. V. I. Kachalov, “Smoothness of solutions of differential equations that contain a parameter”, Differ. Equ., 26:10 (1990), 1264–1268       45. 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          1989 46. V. I. Kachalov, S. A. Lomov, “Analytic properties of solutions of differential equations with singular points”, Dokl. Math., 39:1 (1989), 12–14          1988 47. 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       Organisations National Research University "Moscow Power Engineering Institute"