On the structure of the set of bounded solutions on an almost periodic Lienard equation

被引：13

作者：

Cieutat, P ^{[1
]}

机构：

[1] Univ Versailles, Lab Math Appl, F-78035 Versailles, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 58卷 / 7-8期

关键词：

bounded solutions; asymptotic almost periodic solutions; Lienard equation;

D O I：

10.1016/j.na.2003.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some properties of bounded solutions on (0, +infinity) of the following almost periodic Lienard equation: x" + f(x)x' + g(x) = p(t), where p : R --> R is almost periodic function and g : (a, b) --> R is strictly decreasing function. Notably, we describe the set of initial conditions of the bounded solutions on (0, +infinity) and we state that these solutions are asymptotically almost periodic. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：885 / 898

页数：14

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