2T-PERIODIC SOLUTION FOR m ORDER NEUTRAL TYPE DIFFERENTIAL EQUATIONS WITH TIME D

2T-PERIODIC SOLUTION FOR m ORDER NEUTRAL TYPE DIFFERENTIAL EQUATIONS WITH TIME DELAYS

Periodic solution of m order linear neutral equations with constant coefficient and time delays was studied. Existence and uniqueness of 2 T-periodic solutions for the equation were discussed by using the method of Fourier series. Some new necessary and sufficient conditions of existence and uniqueness of 2 T-periodic solutions for the equation are obtained. The main result is used widely. It contains results in some correlation paper for its special case, improves and extends the main results in them. Existence of periodic solution for the equation in larger number of particular case can be checked by using the result, but cannot be checked in another paper. In other words, the main result in this paper is most generalized for (1), the better result cannot be found by using the same method.

m K^rG/[0

作 者： 张保生 朱光辉  

作者单位：Department of Mathematics, Yunnan Nationalities Institute,Kunming 650031, P R China 

刊 名：应用数学和力学(英文版)  EI SCI

英文刊名：APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 

年，卷(期)：2002 23(1) 

分类号：O175.1 

关键词：neutral type equation   2 T-periodic solution   Fourier series  

机标关键词：TIME DELAYSDIFFERENTIAL EQUATIONSexistence and uniquenessperiodic solutionsufficient conditionsneutral equationsFourier seriestime delaysmethod of 

基金项目：国家自然科学基金