An extension of Dragilev's theorem for the existence of periodic solutions of the Lienard equation

被引：14

作者：

Cioni, Martina ^{[1
]}

Villari, Gabriele ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat & Informat U Dini, I-50137 Florence, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 127卷

关键词：

Lienard equation; Limit cycles; Dragilev's theorem; LIMIT-CYCLES;

D O I：

10.1016/j.na.2015.06.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of the existence of periodic solution for the Lienard equation is investigated, and a result which improves the classical Dragilev's theorem is presented, together with a corollary in which there are no assumptions on the function g(x), and hence on G(x), besides the standard sign condition. In the final part of the paper constructive examples with several limit cycles are provided. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：55 / 70

页数：16

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