Asymptotic behavior of solutions of delay equations in Hilbert spaces

被引：0

作者：

Medvedev D.A. ^{[1
]}

机构：

[1] Faculty of Mechanics and Mathematics, Department of Mathematical Analysis, M. V. Lomonosov Moscow State University, 119899, Moscow

来源：

Journal of Mathematical Sciences | 2008年 / 153卷 / 5期

基金：

俄罗斯基础研究基金会;

关键词：

Hilbert Space; Sobolev Space; Hardy Space; Strong Solution; Homogeneous Equation;

D O I：

10.1007/s10958-008-9136-x

中图分类号：

学科分类号：

摘要：

We establish unimprovable estimates of solutions of inhomogeneous delay differential-difference equations, the coefficients of which are unbounded operators and operator-functions acting in a Hilbert space. We also present results about expansions of those solutions into a sum of a (finite) linear combination of exponential solutions for the homogeneous equation and a function with a smaller power of the exponential growth. © 2008 Springer Science+Business Media, Inc.

引用

页码：551 / 561

页数：10

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