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Kachalov, Vasilii Ivanovich

Total publications: 40 (40)
in MathSciNet: 20 (20)
in zbMATH: 17 (17)
in Web of Science: 11 (11)
in Scopus: 15 (15)
Cited articles: 16
Citations: 57

Number of views:
This page:2019
Abstract pages:2285
Full texts:799
References:286
Associate professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person63224
List of publications on Google Scholar
List of publications on ZentralBlatt
https://www.webofscience.com/wos/author/record/AAQ-8946-2021
https://www.scopus.com/authid/detail.url?authorId=55221343400

Full 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)  crossref  mathscinet  zmath  isi  scopus 13
2. V. I. Kachalov, “On the holomorphic regularization of singularly perturbed systems of differential equations”, Comput. Math. Math. Phys., 57:4 (2017), 653–660  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
3. 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  crossref  isi  scopus 6
4. V. I. Kachalov, “On one method of solving singularly perturbed systems of Tikhonov's type”, Russian Math. (Iz. VUZ), 62:6 (2018), 21–26  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus
5. V. I. Kachalov, “On a method of holomorphic regularization of singularly perturbed problems”, Russian Math. (Iz. VUZ), 61:6 (2017), 44–50  mathnet  crossref  mathscinet  zmath  isi  scopus
6. V. I. Kachalov, S. A. Lomov, “Pseudo-analytic solutions of singularly perturbed problems”, Dokl. Math., 49:1 (1994), 194–197  mathnet  mathscinet  zmath
7. 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  mathnet  mathscinet  zmath
8. V. I. Kachalov, “Holomorphic Regularization of Boundary-Value Problems for Tikhonov Systems”, Journal of Mathematical Sciences, 268:1 (2022), 63-69  crossref  scopus 2
9. M. I. Besova, V. I. Kachalov, “On a nonlinear differential equation in a Banach space”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 332–337  mathnet  crossref  isi  scopus
10. M. I. Besova, V. I. Kachalov, “Axiomatic Approach in the Analytic Theory of Singular Perturbations”, Axioms, 9:1 (2020), 9  crossref  isi  scopus 2
11. V. I. Kachalov, “On holomorphic regularization of strongly nonlinear singularly perturbed problems”, Ufa Math. J., 10:3 (2018), 35–42  mathnet  crossref  mathscinet  isi  scopus
12. Kachalov V.I., “Pseudoholomorphic and ε-Pseudoregular Solutions of Singularly Perturbed Problems”, Differential Equations, 58:3 (2022), 357–366 (to appear)  crossref  crossref  scopus
13. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
14. 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  crossref  mathscinet  isi  scopus 1
15. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
16. V. I. Kachalov, M. I. Besova, “O golomorfnoi regulyarizatsii nelineinykh singulyarno vozmuschennykh kraevykh zadach”, Vestnik MEI, 2018, no. 4, 152–156  crossref 1
17. V. S. Besov, V. I. Kachalov, “Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations”, Differential Equations, 60:1 (2024), 1–11 (to appear)  crossref  crossref
18. 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  mathnet  mathnet  crossref
19. V. I. Kachalov, “ON ε-REGULAR SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER”, Siberian Mathematical Journal, 64:1 (2023), 93–101 (to appear)  mathnet  crossref  crossref
20. 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  mathnet  crossref  crossref  elib
21. 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  mathnet  crossref
22. V. I. Kachalov, “Analytic Theory of Singular Perturbations and Lomov’s Regularization Method”, Lecture Notes in Computer Science, 11386, Springer, 2019, 305–312  crossref  mathscinet  zmath  scopus
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  scopus
24. V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarnykh vozmuschenii v banakhovom prostranstve”, Differentsialnye uravneniya, 54:6 (2018), 794–802  crossref  mathscinet  zmath
25. V. I. Kachalov, Yu. S. Fedorov, “Golomorfnaya regulyarizatsiya slabo nelineinykh singulyarno vozmuschennykh zadach”, Differentsialnye uravneniya i protsessy upravleniya, 2016, no. 3, 17–30  mathscinet  elib
26. V. I. Kachalov, “O golomorfnoi regulyarizatsii kraevykh zadach”, Vestnik MEI, 2015, no. 6, 145–147  elib
27. 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  mathnet  mathscinet
28. V. I. Kachalov, “Kommutatsionnye sootnosheniya, gomomorfizmy i differentsialnye uravneniya”, Differentsialnye uravneniya, 50:1 (2014), 10–16  crossref  mathscinet  zmath  elib
29. V. I. Kachalov, “Teorema Tikhonova o predelnom perekhode i psevdogolomorfnye resheniya singulyarno vozmuschennykh zadach”, Doklady RAN, 458:6 (2014), 630–632  crossref  mathscinet  zmath
30. V. I. Kachalov, “Ob algebraicheskikh osnovakh teorii singulyarnykh vozmuschenii”, Differentsialnye uravneniya, 49:3 (2013), 397–401  mathscinet  zmath  elib
31. V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennogo uravneniya vtorogo poryadka”, Vestnik MEI, 2013, no. 6, 95–103
32. V. I. Kachalov, “Algebraicheskie osnovy teorii singulyarno vozmuschennykh uravnenii”, Doklady RAN, 443:1 (2012), 7–8  mathscinet  zmath
33. V. I. Kachalov, “Psevdogolomorfnye resheniya singulyarno vozmuschennykh sistem differentsialnykh uravnenii”, Vestnik MEI, 2012, no. 6, 13–21  elib
34. V. I. Kachalov, “Golomorfizmy v teorii differentsialnykh uravnenii”, Differentsialnye uravneniya, 47:11 (2011), 1660–1661  mathscinet
35. V. I. Kachalov, “Golomorfnye po parametru integraly singulyarno vozmuschennykh sistem”, Vestnik MEI, 2011, no. 8, 57–68  elib
36. V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennykh zadach”, Vestnik MEI, 2010, no. 6, 54–62  elib
37. V. I. Kachalov, “Smoothness of solutions of differential equations that contain a parameter”, Differ. Equ., 26:10 (1990), 1264–1268  mathnet  mathscinet  zmath
38. 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  mathnet  mathscinet  zmath
39. V. I. Kachalov, S. A. Lomov, “Analytic properties of solutions of differential equations with singular points”, Dokl. Math., 39:1 (1989), 12–14  mathnet  mathscinet  zmath
40. 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  mathnet  crossref

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