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Denisov, Igor Vasil'evich
Associate professor
Doctor of physico-mathematical sciences (2010)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 2.08.1956
E-mail:
Keywords: The Corner Boundary Layer
UDC: 519.632, 519.958, 519.634
MSC: 35J65, 35J60

Subject:

The Corner Boundary Layer in Nonlinear Problems
   
Main publications:
  1. Denisov I.V., “Asimptoticheskoe reshenie irregulyarno singulyarnogo uravneniya v banakhovom prostranstve”, Uspekhi matematicheskikh nauk, 37:5 (1982), 181–182
  2. Denisov I.V., “Differentsialnye uravneniya s konechnomeromorfnym operatornym koeffitsientom v banakhovom prostranstve”, Doklady AN SSSR, 282:6 (1985), 1289–1293
  3. Denisov I.V., “Kvazilineinye singulyarno vozmuschennye ellipticheskie uravneniya v pryamougolnike”, Zhurnal vychisl. matem. i matem. fiziki, 35:11 (1995), 1666–1678
  4. Denisov I.V., “Uglovoi pogransloi v nelineinykh singulyarno vozmuschennykh ellipticheskikh uravneniyakh”, Zhurnal vychisl. matem. i matem. fiziki, 41:3 (2001), 390–406
  5. Denisov I.V., “Uglovoi pogransloi v nelineinykh singulyarno vozmuschennykh ellipticheskikh zadachakh”, Zhurnal vychisl. matem. i matem. fiziki, 48:1 (2008), 62–79

https://www.mathnet.ru/eng/person22252
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/198294
https://elibrary.ru/author_items.asp?authorid=17756

Publications in Math-Net.Ru Citations
2025
1. I. V. Denisov, A. I. Denisov, “Nonlinear method of corner boundary functions with the influence of an inflection point”, Zh. Vychisl. Mat. Mat. Fiz., 65:1 (2025),  36–49  mathnet  elib; Comput. Math. Math. Phys., 65:1 (2025), 76–88
2024
2. A. I. Denisov, I. V. Denisov, “Solving inequalities using radical and adjacent functions”, Chebyshevskii Sb., 25:3 (2024),  70–85  mathnet
3. A. I. Denisov, I. V. Denisov, “The support barrier functions for nonlinear parabolic problems”, Chebyshevskii Sb., 25:2 (2024),  235–242  mathnet
4. A. I. Denisov, I. V. Denisov, “Nonlinear method of angular boundary functions for singularly perturbed parabolic problems with cubic nonlinearities”, Chebyshevskii Sb., 25:1 (2024),  26–41  mathnet 1
2023
5. A. I. Denisov, I. V. Denisov, “Nonlinear method of angular boundary functions in problems with cubic nonlinearities”, Chebyshevskii Sb., 24:1 (2023),  27–39  mathnet 3
2022
6. I. V. Denisov, “Nonlinear singularly perturbed parabolic equations with boundary conditions of the first kind”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 217 (2022),  29–36  mathnet
2021
7. I. V. Denisov, “Ways of development of mathematical analysis at Tula State Lev Tolstoy Pedagogical University (to the 70th anniversary of the formation of the Department of Mathematical Analysis)”, Chebyshevskii Sb., 22:5 (2021),  270–306  mathnet 1
8. I. V. Denisov, “Corner boundary layer in boundary value problems with nonlinearities having stationary points”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1894–1903  mathnet  elib; Comput. Math. Math. Phys., 61:11 (2021), 1855–1863  isi  scopus 5
9. I. V. Denisov, “Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with cubic nonlinearities”, Zh. Vychisl. Mat. Mat. Fiz., 61:2 (2021),  256–267  mathnet  elib; Comput. Math. Math. Phys., 61:2 (2021), 242–253  isi  scopus 8
2020
10. I. V. Denisov, A. I. Denisov, “Mathematical models of combustion processes”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 185 (2020),  50–57  mathnet 4
2019
11. I. V. Denisov, A. I. Denisov, “Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonmonotonic nonlinearities”, Zh. Vychisl. Mat. Mat. Fiz., 59:9 (2019),  1581–1590  mathnet  elib; Comput. Math. Math. Phys., 59:9 (2019), 1518–1527  isi  scopus 6
12. A. I. Denisov, I. V. Denisov, “Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonlinearities”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019),  102–117  mathnet  elib; Comput. Math. Math. Phys., 59:1 (2019), 96–111  isi  scopus 8
2018
13. I. V. Denisov, “Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with monotonic nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018),  575–585  mathnet  elib; Comput. Math. Math. Phys., 58:4 (2018), 562–571  isi  scopus 9
2017
14. I. V. Denisov, “Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 57:2 (2017),  255–274  mathnet  elib; Comput. Math. Math. Phys., 57:2 (2017), 253–271  isi  scopus 12
2014
15. V. F. Butuzov, I. V. Denisov, “Corner Boundary Layer in Nonlinear Elliptic Problems Containing Derivatives of First Order”, Model. Anal. Inform. Sist., 21:1 (2014),  7–31  mathnet 2
2012
16. I. V. Denisov, T. J. Denisova, A. V. Rodionov, “The corner boundary layer in nonlinear singularly perturbed parabolic equations”, Chebyshevskii Sb., 13:3 (2012),  28–46  mathnet 1
2009
17. I. V. Denisov, “On some classes of functions”, Chebyshevskii Sb., 10:2 (2009),  79–108  mathnet  mathscinet 6
2008
18. I. V. Denisov, “Corner boundary layer in nonlinear singularly perturbed elliptic problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008),  62–79  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:1 (2008), 59–75  isi  scopus 5
2004
19. I. V. Denisov, “A corner boundary layer in nonmonotone singularly perturbed boundary value problems with nonlinearities”, Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004),  1674–1692  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:9 (2004), 1592–1610 5
2001
20. I. V. Denisov, “The corner boundary layer in nonlinear singularly perturbed elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:3 (2001),  390–406  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:3 (2001), 362–378 6
1999
21. I. V. Denisov, “The problem of finding the dominant term of the corner part of the asymptotics of the solution to a singularly perturbed elliptic equation with a nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 39:5 (1999),  779–791  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 39:5 (1999), 747–759 6
1998
22. I. V. Denisov, “The first boundary value problem for a linear parabolic equation in the space $\mathbf R_+^{n+1}$”, Differ. Uravn., 34:12 (1998),  1616–1623  mathnet  mathscinet; Differ. Equ., 34:12 (1998), 1620–1628 4
1996
23. I. V. Denisov, “An estimate of the residual term in the asymptotic form of the solution of a boundary-value problem”, Zh. Vychisl. Mat. Mat. Fiz., 36:12 (1996),  64–67  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:12 (1996), 1693–1696  isi 8
24. I. V. Denisov, “A boundary-value problem for a quasilinear singularly perturbed parabolic equation in a rectangle”, Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996),  56–72  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:10 (1996), 1367–1380  isi 13
1995
25. I. V. Denisov, “Quasilinear singularly perturbed elliptic equations in a rectangle”, Zh. Vychisl. Mat. Mat. Fiz., 35:11 (1995),  1666–1678  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:11 (1995), 1341–1350  isi 8
1985
26. I. V. Denisov, “Differential equations with finitely meromorphic operator coefficient in a Banach space”, Dokl. Akad. Nauk SSSR, 282:6 (1985),  1289–1293  mathnet  mathscinet  zmath 3
1982
27. I. V. Denisov, “An asymptotic solution of an irregularly singular equation in a Banach space”, Uspekhi Mat. Nauk, 37:5(227) (1982),  181–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:5 (1982), 166–167  isi 4
2024
28. K. A. Podrezov, V. A. Panin, I. Yu. Rebrova, V. N. Chubarikov, N. M. Dobrovol'skii, I. N. Balaba, I. V. Denisov, B. P. Van'kov, V. S. Vankova, N. N. Dobrovol'skii, Yu. M. Martynyuk, V. G. Durnev, V. N. Bezverkhnii, I. V. Dobrynina, “Ashot Enofovich Ustyn (1.09.1937 – 9.06.2024)”, Chebyshevskii Sb., 25:2 (2024),  366–367  mathnet
29. K. A. Podrezov, V. A. Panin, I. Yu. Rebrova, V. N. Chubarikov, N. M. Dobrovol'skii, I. N. Balaba, I. V. Denisov, B. P. Van'kov, V. S. Vankova, V. G. Durnev, V. N. Bezverkhnii, I. V. Dobrynina, “Martin Davidovich Grindlinger (25.03.1932 – 20.05.2024)”, Chebyshevskii Sb., 25:2 (2024),  362–363  mathnet
2022
30. N. M. Dobrovolsky, I. V. Denisov, I. V. Dobrynina, E. V. Manokhin, “To the 90th anniversary of Professor Alexander Sergeevich Simonov (04.09.1932 - 20.02.2013)”, Chebyshevskii Sb., 23:5 (2022),  337–347  mathnet
2021
31. V. N. Chubarikov, N. M. Dobrovol'skii, I. V. Denisov, A. V. Nesterov, N. N. Nefedov, “To the memory of Valentin Fedorovich Butuzov”, Chebyshevskii Sb., 22:4 (2021),  385–387  mathnet
2019
32. N. M. Dobrovol'skii, I. V. Denisov, “The life and scientific work of Albert Rubenovich Esayan”, Chebyshevskii Sb., 20:1 (2019),  434–438  mathnet
2012
33. I. V. Denisov, N. M. Dobrovol'skii, I. Yu. Rebrova, V. N. Chubarikov, “К 80-летию Александра Сергеевича Симонова”, Chebyshevskii Sb., 13:3 (2012),  111–115  mathnet 1

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