A NOTE ON THE EXISTENCE OF LIMIT CYCLES FOR PLANAR SYSTEMS WITH BOUNDED NONLINEARITIES AND φ-LAPLACIAN

被引：0

作者：

Fujimoto, Kodai ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 10期

关键词：

Limit cycles; Planar differential systems; Phase plane analysis; Poincare-Bendixson theorem; One-dimensional phi-Laplacian; PERIODIC-SOLUTIONS; UNIQUENESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the nonlinear differential equation (phi((x)overdot))(center dot) + Sigma(i=1) f(2j-1) (x) (phi((x)overdot))(2j-1) + g(x) = 0, where the range of the function phi is bounded. A result concerning existence of limit cycles are presented. The proof of our result is based on phase plane analysis of the equivalent system with the Poincare-Bendixon theorem. Finally an example is given to illustrate our result.

引用

页码：1749 / 1757

页数：9

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