ON A NON-LOCAL BOUNDARY VALUE PROBLEM FOR LOADED DIFFERENTIAL EQUATION WITH CHARACTERISTIC FORM OF VARIABLE SIGN

被引：0

作者：

Tokova, A. A. ^{[1
]}

机构：

[1] North Caucasian State HumanitarianTechnol Acad, 36 Stavropolskaya, Cherkessk 369000, Russia

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2011年 / 02期

关键词：

loaded differential equation; regular solution; non-local boundary value problem; uniqueness; occurence;

D O I：

10.14498/vsgtu845

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Non-local boundary value problem for loaded equation of parabolic type with the sign-variable characteristic form is solved. Common representation of solution is constructed. The theorems of common representation, existence and uniqueness of solution for boundary value problems set in rectangular domain are proved.

引用

页码：40 / 45

页数：6