Periodic solutions of the third order functional differential equations

被引：10

作者：

Zhang, ZQ ^{[1
]}

Wang, ZC ^{[1
]}

机构：

[1] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 292卷 / 01期

基金：

中国国家自然科学基金;

关键词：

functional differential equation; periodic solution; coincidence degree; continuation theorem;

D O I：

10.1016/j.jmaa.2003.11.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain sufficient conditions for the existence of periodic solutions of the following third order nonlinear functional differential equations x'''(t) + ax''(2k-1) (t) + bx'(2k-1) (t) + x(2k-1) (t) + g (t, x(t - tau(1)), x'(t - tau(2))) = p(t) = p(t + 2pi). Our approach is based on the continuation theorem of the coincidence degree, and the a priori estimate of periodic solutions. (C) 2004 Published by Elsevier Inc.

引用

页码：115 / 134

页数：20