Existence and uniqueness of periodic solutions for a p-Laplacian Duffing equation with a deviating argument

被引：8

作者：

Gao, Fabao ^{[1
,2
]}

Lu, Shiping ^{[1
]}

Zhang, Wei ^{[2
]}

机构：

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

[2] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 10期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

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

D O I：

10.1016/j.na.2008.07.014

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, we study a class of p-Laplacian Duffing type differential equations of the form (phi(p)(x' (t)))' = Cx' (t) + g (t, x(t), x(t - tau (t))) + e(t). Some new results on the existence and uniqueness of periodic solutions for the above equation are obtained. It is significant that the growth degree with respect to the variables it, v imposed on g (t, u, v) is allowed to be greater than p - 1, so our results generalize and improve on the corresponding results in related papers. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3567 / 3574

页数：8

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