ON LOCAL SOLVABILITY OF LINEAR EVOLUTIONARY EQUATIONS WITH MEMORY

被引：0
|
作者：
Fedorov, V. E.
Stakheeva, O. A.
机构：
来源：
BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE | 2008年 / 02期
关键词：
evolutionary equation; integro-differential equation; equation with memory; sectorial operator; analytic semigroup of operators;
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 prove the local unique solvability of the Cauchy problem for linear evolutionary equation with sectorial operator and with integral memory operator in the Banach space. The result is illustrated on the example of the initial boundary value problem for integro-differential equation with partial derivatives.
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页码：104 / 109
页数：6
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