一类非线性泛函微分方程的周期解  

The Periodic Solutions for a Class of Nonlinear Functional Differential Equations

作　　者：曹彩霞[1] 

机构地区：[1]北京联合大学基础部,北京100101

出　　处：《数学的实践与认识》2008年第12期214-215,共2页Mathematics in Practice and Theory

摘　　要：研究了一类非线性滞后型泛函微分方程周期解的存在性问题.通过Ляпунов方法给出了存在周期解的充分条件和时滞范围的简明表达式,并推广了若干已知结果.The existence problem for a class of nonlinear retarded functional differential equation is researched. We give sufficient condition on existence of periodic solutions by means of the Liapunov＇s method. A brief expression about the bound of time-delay is obtained. Our result generalizes some known results.

关 键 词：滞后型泛函微分方程 Ляпунов方法 周期解 

分 类 号：O175[理学—数学]