Existence of periodic solutions for a p-Laplacian neutral functional differential equation

被引：13

作者：

Lu, Shiping ^{[1
]}

机构：

[1] Nanjing Univ Finance Econ, Dept Appl Math, Nanjing 210046, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期

关键词：

Periodic solution; Continuation theorem; Neutral functional differential equation; MULTIPLE DEVIATING ARGUMENTS;

D O I：

10.1016/j.na.2007.11.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the author study the existence of periodic solutions for a p-Laplacian neutral functional differential equation as follows [phi(p)((u(t) - Sigma(n)(j=1)c(j)u(t - r(j))')] = f(u(t))u'(t) + alpha(t)g(u(t)) + Sigma(n)(j=1)beta(j)(t)g(u(t - gamma(j)(t))) + p(t), By analyzing some properties of operator A: C(T) --> C(T), (Ax)(t) = x(t) Sigma(n)(i=1)c(i)x(t - r(i)), and then using continuation theorem of coincidence degree theory developed by Mawhin, some new results on the existence of periodic solutions are obtained. The example shows that the results of this paper are more general and easily applicable, and improve and generalize some corresponding ones of the known literature. (C) 2008 Published by Elsevier Ltd

引用

页码：231 / 243

页数：13

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