On the existence of periodic solutions to a fourth-order p-Laplacian differential equation with a deviating argument

被引：3

作者：

Wang, Zhengxin ^{[1
]}

Qian, Longxia ^{[2
]}

Lu, Shiping ^{[1
]}

机构：

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

[2] Beijing Normal Univ, Coll Water Sci, Key Lab Water & Sediment Sci, Minist Educ, Beijing 100875, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

关键词：

Periodic solutions; Mawhin's continuation theorem; Deviating argument; SYSTEMS;

D O I：

10.1016/j.nonrwa.2009.03.018

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, the existence of periodic solution of the fourth-order p-Laplacian differential equation with a deviating argument of the form (phi(p)(x ''"(t)))'' f (x'(t)) + beta(t)g(t. x(t). x(t - tau (t)). x'(t)) = e(t). is studied and some new results are obtained. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1660 / 1669

页数：10

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