Criterion for the uniqueness of a solution of a nonlocal problem for a degenerate equation of the mixed type in a rectangular domain

被引：0

作者：

Yu. K. Sabitova

机构：

[1] Sterlitamak State Pedagogical Academy,

[2] Sterlitamak Branch of the Academy of Sciences of Republic Bashkortostan,undefined

来源：

Differential Equations | 2010年 / 46卷

关键词：

Dirichlet Problem; Mixed Type; Homogeneous Problem; Riesz Basis; Rectangular Domain;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a degenerate equation of the mixed type in a rectangular domain, we pose a nonlocal boundary value problem. By the spectral analysis method, we prove a criterion for the uniqueness of the solution of the problem.

引用

页码：1215 / 1218

页数：3

共 4 条

[1]

Frankl F.I.(1956)Subsonic Flow about a Profile with a Supersonic Zone Ending with a Normal Shock Wave Prikl. Mat. Mekh. 20 196-202

[2]

Moiseev E.I.(1999)On the Solution of a Nonlocal Boundary Value Problem by the Spectral Method Differ. Uravn. 35 1094-1100

[3]

Sabitov K.B.(2007)The Dirichlet Problem for Equations of Mixed Type in a Rectangular Domain Dokl. Akad. Nauk 413 23-26

[4]

Il’in V.A.(1975)The Classical Solution of a Mixed Problem for a Self-Adjoint Hyperbolic Equation Is Unique and Lies in Mat. Zametki 17 91-101

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