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：
美国国家科学基金会; 中国国家自然科学基金;
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.
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页码：3567 / 3574
页数：8
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