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Vasilyev, Vladimir Borisovich
Associate professor
Doctor of physico-mathematical sciences
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: ,
Keywords: singular integral, pseudodifferential equation, wave factorization, boundary value problem.
UDC: 517.44, 517.95, 517.968, 517.983
MSC: 35, 42, 45, 47, 65

Subject:

Boundary problems for pseudo-differential equations
   
Main publications:
  1. Vasilev V. B., Wave factorization of elliptic symbols: theory and applications, Kluwer Academic Publishers, Dordrecht–Boston–London, 2000  mathscinet  zmath
  2. Vasilev V. B., Multiplikatory integralov Fure, psevdodifferentsialnye uravneniya, volnovaya faktorizatsiya, kraevye zadachi, KomKniga, M., 2006

https://www.mathnet.ru/eng/person17755
https://scholar.google.com/citations?user=NfV8TwkAAAAJ&hl=en
https://mathscinet.ams.org/mathscinet/MRAuthorID/203712
https://orcid.org/0000-0001-9351-8084

Publications in Math-Net.Ru Citations
2025
1. A. B. Kamanda-Bongay, V. B. Vasilev (Vasilyev), “Multidimensional discrete transformations and their applications to discrete equations”, Applied Mathematics & Physics, 57:2 (2025),  142–147  mathnet
2023
2. V. B. Vasilev (Vasilyev), A. A. Khodyreva, “On the discrete Dirichlet problem in a quarter plane”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226 (2023),  34–46  mathnet
3. V. B. Vasilev (Vasilyev), A. A. Khodyreva, “On discrete boundary-value problems in a quarter plane”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223 (2023),  14–23  mathnet
4. N. N. Agarkova, V. B. Vasilev (Vasilyev), H. Gebreslasie, “On the dirichlet problem in a plane domain with a cut”, Applied Mathematics & Physics, 55:3 (2023),  258  mathnet
5. V. B. Vasilyev , A. A. Mashinets, “On a discrete boundary value problem in a quarter-plane”, Russian Universities Reports. Mathematics, 28:142 (2023),  169–181  mathnet
6. V. B. Vasilyev, “On some elliptic boundary value problems in conic domains”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1309–1315  mathnet  elib; Comput. Math. Math. Phys., 63:8 (2023), 1437–1443 2
2022
7. V. B. Vasilev (Vasilyev), Sh. Kutaiba, “Elliptic problems in domains with degenerate singularities”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 216 (2022),  50–56  mathnet
8. V. B. Vasilev (Vasilyev), N. V. Eberlein, “Conjugation problem for elliptic pseudodifferential equations on the plane”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207 (2022),  10–15  mathnet
9. V. B. Vasilev (Vasilyev), A. A. Khodyreva, “On a discrete equation in a quarter-plane and a related boundary-value problem”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206 (2022),  15–22  mathnet
10. V. B. Vasilev (Vasilyev), A. V. Vasil'ev, “Difference equations in discrete spaces”, Applied Mathematics & Physics, 54:3 (2022),  154–159  mathnet
2021
11. V. B. Vasilev (Vasilyev), Sh. Kutaiba, A. Z. Yaduta, “Asymptotic analysis of an elliptic boundary-value problem in a wedge”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195 (2021),  3–9  mathnet
2020
12. V. B. Vasilev (Vasilyev), “Fredholm operator manifolds”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 187 (2020),  12–18  mathnet  mathscinet; J. Math. Sci. (N. Y.), 287:5 (2025), 699–704
13. V. B. Vasilev (Vasilyev), O. A. Tarasova, “On discrete boundary-value problems and their approximation properties”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 174 (2020),  12–19  mathnet  mathscinet 3
2019
14. V. B. Vasil'ev (Vasilyev), “On certain operator families”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168 (2019),  26–32  mathnet
15. V. B. Vasil'ev (Vasilyev), “Operators and equations: discrete and continuous”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160 (2019),  18–27  mathnet  mathscinet; Journal of Mathematical Sciences, 257:1 (2021), 17–26 4
2018
16. V. B. Vasil'ev (Vasilyev), “On digital approximations for pseudo-differential equations and related boundary value problems”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018),  216–227  mathnet  elib
2016
17. V. B. Vasilyev, “Potentials for elliptic boundary value problems in cones”, Sib. Èlektron. Mat. Izv., 13 (2016),  1129–1149  mathnet 5
18. V. B. Vasilyev, “Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains”, Tr. Semim. im. I. G. Petrovskogo, 31 (2016),  22–37  mathnet; J. Math. Sci. (N. Y.), 234:4 (2018), 397–406  scopus 4
19. V. B. Vasilyev, “Pseudo differential equations on manifolds with complicated singularities on a boundary”, Sib. J. Pure and Appl. Math., 16:3 (2016),  3–14  mathnet; J. Math. Sci., 230:1 (2018), 175–183 5
2015
20. A. V. Vasil'ev, V. B. Vasil'ev, “Difference and discrete equations on the real axis and the semiaxis”, Izv. IMI UdGU, 2015, no. 2(46),  29–37  mathnet  elib
2014
21. A. V. Vasil'ev, V. B. Vasil'ev, “Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving”, Vladikavkaz. Mat. Zh., 16:1 (2014),  3–11  mathnet 2
2010
22. V. B. Vasil'ev (Vasilyev), “Задача с потенциалами для эллиптического уравнения в плоском угле”, Matem. Mod. Kraev. Zadachi, 3 (2010),  51–53  mathnet
2009
23. V. B. Vasil'ev, “Краевая задача для эллиптического уравнения с нелокальным граничным условием II”, Matem. Mod. Kraev. Zadachi, 3 (2009),  62–64  mathnet
2008
24. V. B. Vasil'ev, “Краевая задача для эллиптического уравнения с нелокальным граничным условием”, Matem. Mod. Kraev. Zadachi, 3 (2008),  45–48  mathnet 1
2007
25. V. B. Vasil'ev, “Волновая факторизация и почти тригонометрические ряды”, Matem. Mod. Kraev. Zadachi, 3 (2007),  50–53  mathnet
2006
26. V. B. Vasil'ev (Vasilyev), Yu. V. Kuleshov, “Elliptic problems and finite-difference equations”, Differ. Uravn., 42:5 (2006),  701–702  mathnet  mathscinet; Differ. Equ., 42:5 (2006), 750–751
27. V. B. Vasil'ev (Vasilyev), A. Yu. Kuzmichev, “Parabolic pseudodifferential equations”, Differ. Uravn., 42:3 (2006),  423–424  mathnet  mathscinet; Differ. Equ., 42:3 (2006), 452–453
2003
28. V. B. Vasil'ev (Vasilyev), “Boundary Value Problems for the Laplace Operator in an Infinite Plane Sector”, Differ. Uravn., 39:9 (2003),  1155–1164  mathnet  mathscinet; Differ. Equ., 39:9 (2003), 1213–1224
2000
29. V. B. Vasil'ev, “Normal solvability of general boundary value problems for some classes of pseudodifferential equations”, Differ. Uravn., 36:2 (2000),  219–225  mathnet  mathscinet; Differ. Equ., 36:2 (2000), 247–254
30. V. B. Vasil'ev, “Wave Factorization of Elliptic Symbols”, Mat. Zametki, 68:5 (2000),  653–667  mathnet  mathscinet  zmath  elib; Math. Notes, 68:5 (2000), 556–568  isi 6
1998
31. V. B. Vasil'ev (Vasilyev), “Boundary value problems and integral equations for some classes of pseudodifferential equations in nonsmooth domains”, Differ. Uravn., 34:9 (1998),  1186–1197  mathnet  mathscinet; Differ. Equ., 34:9 (1998), 1188–1199
1997
32. V. B. Vasil'ev (Vasilyev), “Integral operators of potential type associated with elliptic problems in nonsmooth domains”, Differ. Uravn., 33:9 (1997),  1167–1173  mathnet  mathscinet; Differ. Equ., 33:9 (1997), 1171–1177 1
33. V. B. Vasil'ev (Vasilyev), “Dirichlet and Neumann problems for some classes of pseudodifferential equations in the quarter plane”, Differ. Uravn., 33:8 (1997),  1136–1138  mathnet  mathscinet; Differ. Equ., 33:8 (1997), 1144–1146
34. V. B. Vasil'ev (Vasilyev), “On general boundary value problems for some classes of pseudodifferential equations in the quarter plane”, Differ. Uravn., 33:7 (1997),  995–997  mathnet  mathscinet; Differ. Equ., 33:7 (1997), 1003–1005
1996
35. V. B. Vasil'ev (Vasilyev), “Integral equations associated with boundary value problems for the Laplace equation in a plane angle”, Differ. Uravn., 32:9 (1996),  1185–1191  mathnet  mathscinet; Differ. Equ., 32:9 (1996), 1187–1193
1995
36. V. B. Vasil'ev (Vasilyev), “Pseudodifferential equations in cones”, Differ. Uravn., 31:8 (1995),  1385–1395  mathnet  mathscinet  zmath; Differ. Equ., 31:8 (1995), 1335–1346 1
37. V. B. Vasil'ev (Vasilyev), “The multidimensional Riemann problem and related singular integral equations”, Differ. Uravn., 31:3 (1995),  528–530  mathnet  mathscinet; Differ. Equ., 31:3 (1995), 492–494
1994
38. V. B. Vasil'ev (Vasilyev), “Singular integral operators in domains with corners in the plane”, Differ. Uravn., 30:9 (1994),  1542–1552  mathnet  mathscinet; Differ. Equ., 30:9 (1994), 1426–1435
39. V. B. Vasil'ev, “The Wiener–Hopf equations and the mathematical theory of diffraction”, Zh. Vychisl. Mat. Mat. Fiz., 34:12 (1994),  1902–1909  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:12 (1994), 1635–1641  isi
1993
40. V. B. Vasil'ev (Vasilyev), “Singular integrals on compact manifolds with singularities”, Differ. Uravn., 29:9 (1993),  1642–1643  mathnet  mathscinet; Differ. Equ., 29:9 (1993), 1427–1428 2
1990
41. S. K. Abdullaev, V. B. Vasil'ev (Vasilyev), “Invertibility of multidimensional singular integral operators over a half-space in weighted Hölder classes”, Differ. Uravn., 26:8 (1990),  1408–1416  mathnet  mathscinet  zmath; Differ. Equ., 26:8 (1990), 1040–1046
2024
42. A. Ya. Belov, V. M. Buchstaber, V. B. Vasilyev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamyi, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)”, Chebyshevskii Sb., 25:2 (2024),  5–19  mathnet

Presentations in Math-Net.Ru
1. On elliptic equations and boundary value problems
V. B. Vasilev (Vasilyev)
International conference "Theory of functions and its applications" dedicated to the 120th anniversary of S. M. Nikol'skii
July 4, 2025 10:45
2. О периодическом аналоге одного интегрального преобразования
V. B. Vasilev (Vasilyev)
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 29, 2024 16:40   
3. Model pseudo-differential equations, canonical domains and discrete approximations
V. B. Vasilev (Vasilyev)
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 15:10   
4. Pseudo-differential equations in non-smooth domains
V. B. Vasilev (Vasilyev)
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 8, 2023 12:35   
5. Эллиптические уравнения, модельные области и краевые задачи
V. B. Vasilev (Vasilyev)

November 9, 2022 16:20
6. On model boundary value problems for pseudo-differential equations
V. B. Vasilev (Vasilyev)

August 12, 2021 16:30
7. On some elliptic problems with an integral condition
V. B. Vasilyev
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 3, 2021 15:40   
8. Wave factorization of elliptic symbols: ideas and problems
V. B. Vasiliev
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 13, 2018 15:30   

Organisations