Zobrazeno 1 - 10
of 24
pro vyhledávání: '"V A, Zhegalov"'
Autor:
L. B. Mironova, V. I. Zhegalov
Publikováno v:
Russian Mathematics. 64:11-15
We apply new approach for the Goursat and Cauchy problems with additional recovering of coefficients of equation for selection of the cases of solvability of these problems in quadratures. Instead of introduction of additional boundary value conditio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75090837014eafd56374ebb51de445e3
https://doi.org/10.3103/s1066369x20060031
https://doi.org/10.3103/s1066369x20060031
Publikováno v:
Russian Mathematics. 62:17-21
In terms of coefficients of an equation under consideration, we derive 16 variants of collections of conditions of resolvability of this equation in quadratures. Every collection consists of three identities that interconnect five coefficients appear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::610e471c83f30be41401acfcd805dcc1
https://doi.org/10.3103/s1066369x18080030
https://doi.org/10.3103/s1066369x18080030
Autor:
V. I. Zhegalov, A. N. Mironov
Publikováno v:
Differential Equations. 53:836-840
For a system of three first-order partial differential equations with three independent variables, we obtain sufficient conditions for one component of the solution to satisfy a third-order Bianchi equation. We also obtain conditions for the solvabil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d56a89ef913f438e9ed7647fce901871
https://doi.org/10.1134/s0012266117060143
https://doi.org/10.1134/s0012266117060143
Autor:
V. I. Zhegalov, E. A. Sozontova
Publikováno v:
Differential Equations. 53:270-272
Six new versions of solvability conditions for the Goursat problem in quadratures are formulated in terms of the coefficients of a linear inhomogeneous hyperbolic equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40e83b9dc75112ecc60d325d6a396908
https://doi.org/10.1134/s0012266117020124
https://doi.org/10.1134/s0012266117020124
Autor:
V. I. Zhegalov, E. A. Sozontova
Publikováno v:
Differential Equations. 51:955-958
By reduction to Goursat problems, we obtain various versions of conditions ensuring that the solution of the system in question can be constructed in closed form.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24af2183b2be8c162afc61d360bc41b8
https://doi.org/10.1134/s0012266115070137
https://doi.org/10.1134/s0012266115070137
Autor:
V. I. Zhegalov, E. A. Utkina
Publikováno v:
Differential Equations. 50:226-231
For a hyperbolic equation of a form earlier unstudied, we consider two problems with normal derivatives in the boundary conditions. For each of these problems, we prove the existence of a unique reduction to the Goursat problem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::880a08a08adbe2cded10a9f3ca5bfa06
https://doi.org/10.1134/s0012266114020104
https://doi.org/10.1134/s0012266114020104
Autor:
O. A. Tikhonova, V. I. Zhegalov
Publikováno v:
Differential Equations. 50:66-72
We present necessary and sufficient conditions for the factorization of equations with dominating partial derivatives and illustrate the possibility of using our results by examples of two forms of equations of the second and third orders.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02a6386acebd55f24a9a7318df57ca84
https://doi.org/10.1134/s0012266114010091
https://doi.org/10.1134/s0012266114010091
Autor:
V. I. Zhegalov, I. M. Sarvarova
Publikováno v:
Russian Mathematics. 57:56-59
We find new variants of Goursat problem solution in quadratures on the basis of the combination of the Riemann method and the cascade integration. The results are applied to two Volterra equations with particular integrals.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ccc8ac2c620f4933163d5936b6d85b5
https://doi.org/10.3103/s1066369x13030080
https://doi.org/10.3103/s1066369x13030080
Autor:
I. M. Sarvarova, V. I. Zhegalov
Publikováno v:
Russian Mathematics. 55:23-29
We propose a technique that in certain cases allows one to solve the considered equations in an explicit form.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9af92d5312ba583940e5cb5e947690b2
https://doi.org/10.3103/s1066369x11070048
https://doi.org/10.3103/s1066369x11070048
Autor:
V. I. Zhegalov, A. A. Kungurtsev
Publikováno v:
Russian Mathematics. 52:35-41
We obtain formulas for solutions of problems with boundary conditions of the 1st, 2nd, and 3rd kind.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e29852972d4f198d9e0eb355417062a4
https://doi.org/10.3103/s1066369x08110042
https://doi.org/10.3103/s1066369x08110042