Existence and uniqueness of periodic solutions for a kind of high-order p-Laplacian Duffing differential equation with sign-changing coefficient ahead of linear term

被引：11

作者：

Li, Xiaojing ^{[1
]}

机构：

[1] Jiangsu Teachers Univ Technol, Coll Math & Phys, Changzhou 213001, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期

关键词：

Periodic solution; High order; p-Laplacian equation; Coincidence degree;

D O I：

10.1016/j.na.2009.01.153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the continuation theorem of coincidence degree theory, we study a kind of high-order p-Laplacian differential equation as follows: (phi(p)(y((m))(t)))((m)) + beta(t)y'(t) + g(t, y(t)) = e(t). Some new results on the existence and uniqueness of periodic solutions are obtained. The interesting thing is that the coefficient beta(t) is allowed to change sign, which could be achieved infrequently in previous papers. But, the methods to estimate a priori bounds of periodic solutions are different from the corresponding ones used in the past. (C) 2009 Published by Elsevier Ltd

引用

页码：2764 / 2770

页数：7

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