The problem of start control for a class of semilinear distributed systems of Sobolev type

被引：1

作者：

Fedorov, V. E. ^{[1
]}

Plekhanova, M. V. ^{[2
]}

机构：

[1] Chelyabinsk State Univ, Chelyabinsk 454001, Russia

[2] S Ural State Univ, Chelyabinsk 454080, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2011年 / 275卷

基金：

俄罗斯基础研究基金会;

关键词：

optimal control; distributed system; Sobolev type equation; semilinear equation; LINEAR-EQUATIONS;

D O I：

10.1134/S0081543811090033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A result on the solvability of the Cauchy problem for a semilinear equation of Sobolev type in a Banach space is obtained with the help of the theory of degenerate operator semigroups. The result is used for investigating the problem of start control in the corresponding system. Abstract results are illustrated by the example of the semilinear Dzektser equation.

引用

页码：40 / 48

页数：9

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