Existence of periodic solutions for a Lienard type p-Laplacian differential equation with a deviating argument

被引：9

作者：

Gao, Fabao ^{[1
]}

Lu, Shiping ^{[1
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Periodic solutions; p-Laplacian; Mawhin's continuation theorem;

D O I：

10.1016/j.na.2007.11.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of Mawhin's continuation thorem, a class of p-Laplacian type differential equation with a deviating argument of the form (phi p(x'(t)))' + F(x(t))x'(t) + beta(t)g(t, x(t -tau(t, |x|(infinity)))) = e(t) is studied. A new result, related to beta(t) and the deviating argument tau(t,|x|(infinity)), is obtained. It is significant that the growth degree with respect to the variable x in g(t,x) is allowed to be greater than p - 1, which could be achieved infrequently in previous papers. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：4754 / 4763

页数：10

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