Zobrazeno 1 - 10
of 17
pro vyhledávání: '"J. V. Rudzko"'
Autor:
V. I. Korzyuk, J. V. Rudzko
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 43, Iss 1, Pp 48-63 (2023)
We study the first mixed problem for the telegraph equation with a nonlinear potential in the first quadrant. We pose the Cauchy conditions on the lower base of the domain and the Dirichlet condition on the lateral boundary. By the method of characte
Externí odkaz:
https://doaj.org/article/f46ac22dfc27495d8d988572a30f014b
Autor:
V. I. Korzyuk, J. V. Rudzko
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 59:37-50
In this article, we study a mixed problem in a quarter-plane for one system of differential equations, which describes vibrations in the string from viscoelastic material, which corresponds to the Maxwell model. At the bottom of the boundary, we pose
Autor:
V. I. Korzyuk, J. V. Rudzko
Publikováno v:
Doklady of the National Academy of Sciences of Belarus. 67:14-19
For a one-dimensional mildly quasilinear wave equation given in the upper half-plane, we consider the Cauchy problem. The solution is constructed by the method of characteristics in an implicit analytical form as a solution of some integro-differenti
Autor:
V. I. Korzyuk, J. V. Rudzko
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 58:300-311
In this article, we study a mixed problem in a quarter-plane for a system of differential equations, which describes vibrations in a string from viscoelastic material, which corresponds to Maxwell material. At the bottom of the boundary, the Cauchy c
Autor:
V. I. Korzyuk, J. V. Rudzko
Publikováno v:
Doklady of the National Academy of Sciences of Belarus. 66:7-11
The first mixed problem for a nonlinear equation is considered in the quarter plane. The Cauchy conditions are set at the bottom of the boundary. The Dirichlet condition is set on the left part of the boundary. The solution is constructed using the m
Autor:
V. I. Korzyuk, J. V. Rudzko
Publikováno v:
Differential Equations. 58:175-186
Autor:
V. I. Korzyuk, J. V. Rudzko
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 57:417-427
In this article, we study the classical solution of the mixed problem in a quarter of a plane for a one-dimensional wave equation. On the bottom boundary, the Cauchy conditions are specified, meanwhile, the second of them has a discontinuity of the f
Autor:
J. V. Rudzko, V. I. Korzyuk
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 57:23-32
In this article, we study the classical solution of the mixed problem in a quarter of a plane for a one-dimensional wave equation. On the bottom of the boundary, the Cauchy conditions are specified, and the second of them has a discontinuity of the f
Autor:
Korzyuk, V. I., Rudzko, J. V.
Publikováno v:
Eurasian Mathematical Journal; 2024, Vol. 15 Issue 2, p61-74, 14p
Autor:
Korzyuk, V. I.1,2 (AUTHOR) korzyuk@bsu.by, Rudzko, J. V.2 (AUTHOR) janycz@yahoo.com
Publikováno v:
Differential Equations. Sep2023, Vol. 59 Issue 9, p1216-1234. 19p.