Periodic solutions for a Rayleigh type equation with a variable coefficient ahead of the nonlinear term

被引：6
作者：
Gao, Fabao [1 ]
Lu, Shiping [1 ]
机构：
[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 01期
关键词：
periodic solutions; p-Laplacian; continuation theorem;
D O I：
10.1016/j.nonrwa.2007.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the Manasevich-Mawhin continuation theorem, a class of Rayleigh type equations with a deviating argument of the form (phi(p)(x' (t)))' + f(x'(t)) + beta(t)g(x(t - tau(t))) = e(t) is studied. It is notable that the coefficient beta(t) ahead of g(x(t - tau(t))) is allowed to change sign in this paper, which could be achieved infrequently in previous papers. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：254 / 258
页数：5
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