Periodic solutions of forced Lienard-type equations

被引：1

作者：

Jin, Z ^{[1
]}

Shu, S

Liu, ZR

机构：

[1] Hebei Univ Technol, Dept Appl Math, Tianjin 300130, Peoples R China

[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 161卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Lienard-type equations; Lienard system; periodic solutions; topological degree;

D O I：

10.1016/j.amc.2003.12.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using Mawhin's coincidence degree theory and Brosuk's theorem, some new sufficient conditions of the existence of periodic solutions for the well-known forced Lienard-type equations x + f(1)(x)x + f(2)(x)x(2) + g(x) = e(t) are given. These new conditions are natural extension and generalization of the corresponding results already obtained results in the literature. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：655 / 666

页数：12

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