EXISTENCE AND STABILITY OF SOLUTIONS OF ONE CLASS OF SEMILINEAR SOBOLEV-TYPE EQUATIONS

被引：0

作者：

Zagrebina, S. A.

Yakupov, M. M.

机构：

来源：

BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE | 2008年 / 02期

关键词：

Oskolkov equation; Sobolev type equation; relatively p-sectorial operator; existence and stability of solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors analyses the unique solvability of the Cauchy problem for the semilinear Sobolev type equation with a relatively p-sectorial operator, and the stability of solutions of this equation about a point of the origin of coordinates in case of the irreversibility of the operator under derivative, particularly when its core is nontrivial as an example of the results, the thermoconvection problem for the Oskolkov equation modeled dynamic of incompressible visco-elastic fluid is considered.

引用

页码：10 / 18

页数：9

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