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
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)