INVERSE PROBLEM FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATION WITH HIGH ORDER PSEUDOPARABOLIC OPERATOR

被引：4

作者：

Yuldashev, T. K. ^{[1
]}

机构：

[1] MF Reshetnev Siberian State Aerosp Univ, Dept Higher Math, 31 Pr Krasnoyarskiy Rabochiy, Krasnoyarsk 660014, Russia

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2012年 / 03期

关键词：

nonlinear inverse problem; high order pseudoparabolic operator; generalized solvability;

D O I：

10.14498/vsgtu1041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables. The mixed problem is reduced to the Volterra integral equation of the second kind, and the inverse problem - to the system of Volterra integral equations. The unique solvability of the inverse problem and the stability of its solution are proved.

引用

页码：17 / 29

页数：13

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