m阶多时滞中立型微分方程的2T周期解  

2T-Periodic Solution for m Order Neutral Type Differential Equations With Time Delays

作　　者：张保生[1] 朱光辉[1] 

机构地区：[1]云南民族学院数学系,昆明650031

出　　处：《应用数学和力学》2002年第1期92-98,共7页Applied Mathematics and Mechanics

基　　金：云南省教委科研基金资助项目 (990 0 0 2 )

摘　　要：研究m阶常系数线性多时滞中立型方程的周期解 ,讨论了 2T周期解的存在性和唯一性 ,得到了 2T周期解存在唯一若干新的充分必要条件·　所得主要结果适用性更广·　它包括了许多相关文献的结果为其特例 ,推广、改进了这些文献的主要结果·　可对所研究的中立型方程周期解存在的大量情形作出判断 ,而这些情形用其他文献的结果是无法判断的·　换言之 ,对方程 (1) ,主要结果是最一般化的 。Periodic solution of m order linear neutral equations with constant coefficient and time delays was studied. Existence and uniqueness of 2T_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 2T_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 by using the same method.

关 键 词：周期解 FOURIER级数 存在性 唯一性 多时滞中立型微分方程 

分 类 号：O175.1[理学—数学]