Exponential dichotomy of difference equations and applications to evolution equations on the half-line

被引：32

作者：

Huy, NT

Van Minh, N

机构：

[1] Ha Noi Univ Technol, Dept Appl Math, Hanoi, Vietnam

[2] Univ Hanoi, Dept Math, Hanoi, Vietnam

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 42卷 / 3-5期

关键词：

difference equations; discrete evolution family; evolution family; exponential stability; exponential dichotomy;

D O I：

10.1016/S0898-1221(01)00155-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a sequence of bounded linear operator {A(n)}(n=0)(infinity) on a Banach space X, we investigate the characterization of exponential dichotomy of the difference equations nu (n+1) = A(n)nu (n). We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations nu (n+1) = A(n)nu (n) + f(n) in l(infinity) space. Then we apply the results to study the exponential dichotomy of evolution families generated by evolution equations. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：301 / 311

页数：11

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