Inner boundary value problem with displacement for a second order mixed parabolic-hyperbolic equation

被引：1

作者：

Balkizov, Zh A. ^{[1
]}

Guchaeva, Z. Kh ^{[2
]}

Kodzokov, A. Kh ^{[2
]}

机构：

[1] KBSC RAS, Inst Appl Math & Automat, Nalchik, Russia

[2] Kabardino Balkarian State Univ, Nalchik, Russia

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2022年 / 106卷 / 02期

关键词：

wave equation; degenerate hyperbolic equation of the first kind; Volterra integral equation; Fredholm integral equation; Tricomi method; method of integral equations; methods of fractional calculus theory;

D O I：

10.31489/2022M2/59-71

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates inner boundary value problems with a shift for a second-order mixed-hyperbolic equation consisting of a wave operator in one part of the domain and a degenerate hyperbolic operator of the first kind in the other part. We find sufficient conditions for the given functions to ensure the existence of a unique regular solution to the problems under study. In some special cases, solutions are obtained explicitly.

引用

页码：59 / 71

页数：13

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