ON THE SOLVABILITY OF BOUNDARY VALUE PROBLEM FOR MIXED-TYPE EQUATION WITH A SINGULAR COEFFICIENT

被引：0

作者：

Ruziev, M. Kh. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Inst Math, 29 Durmon Yuli St, Tashkent 100125, Uzbekistan

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2014年 / 03期

关键词：

principle of extremum; unique solvability; existence of solution; singular coefficient; integral equations; Wiener-Hopf equation; index equation; Fourier integral;

D O I：

10.14498/vsgtu1321

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study a problem with conditions on the inner characteristic and on some parts of the degeneration line for mixed type equation with singular coefficient in unbounded domain. We prove the uniqueness of solution of the mentioned problem with the help of the extremum principle. The proof of the existence of solution is based on the theory of singular integral equations and Fredholm integral equations.

引用

页码：44 / 56

页数：13

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