STABILITY OF THE LYAPUNOV EXPONENTS UNDER PERTURBATIONS

被引：4

作者：

Barreira, Luis ^{[1
]}

Valls, Claudia ^{[1
]}

机构：

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

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2017年 / 8卷 / 03期

关键词：

delay equations; Lyapunov exponents; perturbations; FUNCTIONAL-DIFFERENTIAL EQUATIONS; PERRON-TYPE THEOREM; INVARIANT-MANIFOLDS; INFINITE DELAY; SYSTEMS; SPACE;

D O I：

10.1215/20088752-2017-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a linear-delay equation on an arbitrary Banach space, we describe a condition so that the Lyapunov exponents of the equation persist under sufficiently small linear as well as nonlinear perturbations. We consider both cases of discrete and continuous time with the study of delay-difference equations and delay equations, respectively. The delay can be any number from zero to infinity.

引用

页码：398 / 410

页数：13

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