Semilinear evolution equations on discrete time and maximal regularity

被引：7

作者：

Cuevas, Claudio ^{[2
]}

Lizama, Carlos ^{[1
]}

机构：

[1] Univ Santiago Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

[2] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 01期

关键词：

Discrete time; Forward difference operator; Semilinear evolution equations; Discrete maximal regularity; Stability; FOURIER MULTIPLIER THEOREMS; INTEGRODIFFERENTIAL EQUATIONS; INFINITE DELAY; STABILITY; SPACES;

D O I：

10.1016/j.jmaa.2009.08.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and stability of solutions for semilinear equations on Banach spaces by using recent characterizations of discrete maximal regularity. As application we examine the asymptotic behavior of discrete control systems. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：234 / 245

页数：12