Nonautonomous difference equations and a Perron-type theorem

被引：5

作者：

Barreira, Luis ^{[1
]}

Valls, Claudia ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2012年 / 136卷 / 03期

关键词：

Lyapunov exponents; Nonautonomous difference equations; BEHAVIOR;

D O I：

10.1016/j.bulsci.2011.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that if the Lyapunov exponents of a linear difference equation x(m + 1) = L(m)x(m) are limits, then the same happens with the Lyapunov exponents of the solutions of the nonlinear equation x (m + 1) = L(m)x(m) + f(m)(x(m)) for any sufficiently small sequence fm. We consider the general case of infinite delay. (C) 2011 Elsevier Masson SAS. All rights reserved.

引用

页码：277 / 290

页数：14

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