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一类具时滞变量的类p-Laplacian Liénard微分方程周期解的存在性

梁峰 鲁世平 韩茂安

数学杂志2011,Vol.31Issue(1):48-54,7.
数学杂志2011,Vol.31Issue(1):48-54,7.

一类具时滞变量的类p-Laplacian Liénard微分方程周期解的存在性

EXISTENCE OF PERIODIC SOLUTIONS FOR A p-LAPLACIAN-LIKE LI(E)NARD DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT

梁峰 1鲁世平 2韩茂安1

作者信息

  • 1. 安徽师范大学数学系,安徽,芜湖241000
  • 2. 上海师范大学数学系,上海,200234
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摘要

Abstract

In this article,we study a kind of p-Laplacian-like Liénard differential equation.By using the generalized Borsuk theorem in coincidence degree theory,a new result on the existence of its periodic solution is obtained in the case that the cofficient c(t)is not a constant function.

关键词

周期解/类p-Laplacian算子/Liénard微分方程/时滞变量/广义Borsuk定理

Key words

periodic solution/p-Laplacian-like/Liénard differential equation/deviating argument/generalized Borsuk theorem

分类

数理科学

引用本文复制引用

梁峰,鲁世平,韩茂安..一类具时滞变量的类p-Laplacian Liénard微分方程周期解的存在性[J].数学杂志,2011,31(1):48-54,7.

基金项目

Supported by Natural Science Foundation of Education Department of Anhui Province(KJ2010B353) (KJ2010B353)

Young Teacher's Foundation of Anhui Normal University(2008xqn46). (2008xqn46)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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