LOCAL AND NONLOCAL VALUE BOUNDARY PROBLEMS FOR A THIRD-ORDER MIXED-TYPE EQUATION EQUIPPED WITH TRICOMI OPERATOR IN ITS HYPERBOLIC PART

被引：0

作者：

Balkizov, Z. A. ^{[1
]}

机构：

[1] HM Berbekov Kabardino Balkarian State Univ, Dept Theory Funct & Funct Anal, Chernyshevskogo Str 173, Nalchik 360004, Russia

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2008年 / 02期

关键词：

local value boundary problem; nonlocal value boundary problem; mixed-type equations; Green's function; Fredholm integral equation;

D O I：

10.14498/vsgtu391

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The existence and uniqueness of local and nonlocal value boundary problems for third-order mixed-type equations with multiple characteristics is proved. Uniqueness of the problem solution is proved with energy-integral method. The existence of the solution is proved with equivalent reduction method to Fredholm integral equations of the second kind with the help of Green's function.

引用

页码：21 / 28

页数：8

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