On the boundary-value problem for a class of equations of mixed type in an unbounded domain

被引：0

作者：

M. Kh. Ruziev

机构：

[1] National Academy of Sciences,Institute of Mathematics and Information Technology

来源：

Mathematical Notes | 2012年 / 92卷

关键词：

partial differential equation of mixed type; Gellerstedt problem; boundary-value problem; parabolic degeneracy; extremum principle; Cauchy problem; Darboux formula;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the boundary-value problem for an equation of mixed type with singular coefficient. The uniqueness of the solution of the problem is proved using the extremum principle and the existence of a solution to the problem is established by the method of integral equations.

引用

页码：70 / 78

页数：8

共 50 条

[41] THE INITIAL BOUNDARY-VALUE PROBLEM FOR A CLASS OF NONLINEAR SCHRODINGER-EQUATIONS
CHEN, YM
ACTA MATHEMATICA SCIENTIA, 1986, 6 (04) : 405 - 418
[42] Homogenization of a mixed boundary-value problem in a domain with anisotropic fractal perforation
Nazarov, S. A.
Slutskii, A. S.
IZVESTIYA MATHEMATICS, 2010, 74 (02) : 379 - 409
[43] Boundary-value problem with mixed conditions for weakly nonlinear hyperbolic equations
N. I. Bilusyak
B. Yo. Ptashnyk
S. M. Repetylo
Journal of Mathematical Sciences, 2012, 180 (1) : 68 - 80
[44] MIXED BOUNDARY-VALUE PROBLEM OF THE ELECTRODYNAMICS
FELD, JN
DOKLADY AKADEMII NAUK SSSR, 1981, 256 (06): : 1351 - 1355
[45] MIXED BOUNDARY-VALUE PROBLEM FOR GRIFFITH CRACK IN DOUBLY CONNECTED DOMAIN
HERRMANN, K
KUMMERLING, R
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1976, 56 (03): : T114 - T117
[46] The Third Mixed Boundary-Value Problem for Strongly Elliptic Differential-Difference Equations in a Bounded Domain
V. V. Akhlynina
Journal of Mathematical Sciences, 2024, 286 (3) : 309 - 321
[47] INTEGRAL-EQUATIONS FOR THE MIXED BOUNDARY-VALUE PROBLEM IN PLANE ELASTOSTATICS
HEISE, U
APPLIED MATHEMATICAL MODELLING, 1980, 4 (01) : 63 - 66
[48] BOUNDARY VALUE PROBLEM FOR MIXED-TYPE EQUATIONS
MELENTEV, BV
DOKLADY AKADEMII NAUK SSSR, 1964, 154 (06): : 1262 - &
[49] A boundary-value problem for weakly nonlinear hyperbolic equations with data on the entire boundary of a domain
Bilusyak N.I.
Ptashnyk B.I.
Ukrainian Mathematical Journal, 2001, 53 (2) : 276 - 282
[50] Numerical Method for Solving a Strongly Mixed Boundary Value Problem in an Unbounded Domain
Dang Quang, A.
Dinh Hung Tran
ADVANCES IN INFORMATION AND COMMUNICATION TECHNOLOGY, 2017, 538 : 403 - 412

← 1 2 3 4 5 →