Dirichlet problem for a third-order equation of mixed type in a rectangular domain

被引：0

作者：

K. B. Sabitov

机构：

[1] Academy of Sciences of Republic Bashkortostan,Sterlitamak Branch

来源：

Differential Equations | 2011年 / 47卷

关键词：

Inverse Problem; Dirichlet Problem; Mixed Type; Rectangular Domain; Uniqueness Criterion;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a third-order differential equation of parabolic-hyperbolic type, we suggest a method for studying the first boundary value problem by solving an inverse problem for a second-order equation of mixed type with unknown right-hand side. We obtain a uniqueness criterion for the solution of the inverse problem. The solution of the inverse problem and the Dirichlet problem for the original equation is constructed in the form of the sum of a Fourier series.

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