Periodic solutions for prescribed mean curvature Lienard equation with a deviating argument

被引：25
|
作者：
Feng, Meiqiang [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期
关键词：
Prescribed mean curvature Lienard equation; Periodic solutions; Coincidence degree; Deviating argument; DIFFERENTIAL-EQUATION; EXISTENCE; KIND; UNIQUENESS; THEOREM;
D O I：
10.1016/j.nonrwa.2011.09.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using coincidence degree theory and different techniques from those used by N. Cac, this paper is devoted to study the existence of periodic solutions for a prescribed mean curvature Lienard equation with a deviating argument (x'/root 1+x'(2))'+ f(x(t))x'(t) + g (t, x(t - tau(t))) = e(t), where g is an element of C(R-2, R-1), f, e and tau are T-periodic. The results are illustrated with an example, which cannot be handled using the existing results. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：1216 / 1223
页数：8
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