Nonlocal Boundary Value Problem with an Integral Condition for a Mixed Type Equation with a Singular Coefficient

被引：4

作者：

Zaitseva, N., V ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 02期

关键词：

D O I：

10.1134/S0012266121020105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study how a boundary value problem with a nonlocal integral condition of the first kind for a mixed type equation with a singular coefficient in a rectangular domain depends on a numerical parameter occurring in the equation. A uniqueness criterion is established, and theorems on the existence and stability of a solution of the problem are proved. The solution is constructed in closed form, and the convergence of the series in the class of regular solutions is justified.

引用

页码：210 / 220

页数：11

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