Existence of periodic solutions for a fourth-order p-Laplacian equation with a deviating argument

被引：9

作者：

Lu, Shiping ^{[1
,2
]}

Jin, Shan ^{[2
]}

机构：

[1] Nanjing Univ Informat & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 54100, Anhui, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 02期

关键词：

Periodic solution; Continuation theorem; Deviating argument; p-Laplacian;

D O I：

10.1016/j.cam.2008.12.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument as follows: [phi(p)(u ''(t))]'' +f (u ''(t)) + g(u(t - tau(t))) = e(t). Under various assumptions, the existence of periodic solutions of the problem is obtained by applying Mawhin's continuation theorem. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：513 / 520

页数：8

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