Periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument

被引：17

作者：

Shan, Jin ^{[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 / 5-6期

关键词：

periodic solution; continuation theorems; deviating argument; p-Laplacian equation;

D O I：

10.1016/j.na.2007.07.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of Mawhin's continuation theorem, a kind of fourth-order p-Laplacian differential equation with a deviating argument as follows: [phi(p)(u"(t))]" + f (u(t))u'(t) + g(t, u(t), it(t - tau(t))) = e(t) is studied. Under various assumptions, the existence of periodic solutions is obtained. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1710 / 1718

页数：9

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