一类高阶中立型方程的周期解  

Periodic Solutions of a Class of Higher Order Neutral Type Equations

作　　者：曹进德[1] 

机构地区：[1]云南大学成人教育学院

出　　处：《应用数学和力学》1999年第6期607-612,共6页Applied Mathematics and Mechanics

基　　金：云南省自然科学研究基金

摘　　要：利用Ｆｏｕｒｉｅｒ级数理论讨论了一类高阶中立型方程的周期解问题·所得结果改进了司建国（应用数学和力学，第１７卷１期：关于高阶常系数中立型方程周期解的讨论）的主要结果，即将该文定理１的条件｜ｂ０｜＜１／２改为｜ｂ０｜≠１。In this paper, by using the theory of Fourier series, some necessary and sufficient conditions of existence and uniqueness of periodic solutions of a class of higher order neutral type equations are obtained. The main results by Shi Jianguo in“Discussion on the periodic solutions for linear equation of neutral type with constant coefficients” are improved, i.e., the condition |b 0|≠1 instead of the condition |b 0|<1/2 of Theorem 1 by Shi Jianguo is given. Other theorems by Shi are rebuilt and improved according to the new assumption.

关 键 词：周期解 中立型方程 常系数 傅里叶级数 

分 类 号：O175.7[理学—数学]