Periodic solutions for n-dimensional generalized Lienard type p-Laplacian functional differential system

被引：3
|
作者：
Gao, F. B. [1 ]
Zhang, W. [1 ]
Lai, S. K. [2 ]
Chen, S. P. [1 ,3 ]
机构：
[1] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
[2] Univ Western Sydney, Sch Engn, Penrith, NSW 1797, Australia
[3] Taizhou Univ, Coll Math & Informat Engn, Linhai 317000, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12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：
Degree theory; Periodic solutions; p-Laplacian; Differential system; DEVIATING ARGUMENTS; EXISTENCE; EQUATION;
D O I：
10.1016/j.na.2009.05.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the n-dimensional generalized Lienard system d/dt phi(p) [x(t) - Cx(t - tau))'] + d/dt Delta F(x(t - tau)) + del G(x(t - delta(t))) = e(t) driven by the scalar p-Laplacian, C is an n x n symmetric matrix of constants. Using the degree theory, we establish some criteria to guarantee the existence of periodic solutions for the above system, which generalize and improve on the corresponding results in the related literature. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：5906 / 5914
页数：9
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