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
收藏
页码：1710 / 1718
页数：9
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