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一类具有时滞的变系数微分系统的指数稳定性及周期解的存在性
引用本文:刘昌东.一类具有时滞的变系数微分系统的指数稳定性及周期解的存在性[J].四川大学学报(自然科学版),2004,41(3):519-523.
作者姓名:刘昌东
作者单位:湛江海洋大学理学院,广东,湛江,524025
摘    要:通过构造具有指数函数因式的V泛函,研究了一类具时滞的变系数非线性微分系统,得到了该系统的全局指数稳定性和周期解存在的充分条件,并给出若干判据。

关 键 词:非线性微分系统  指数稳定性  周期解
文章编号:0490-6756(2004)03-0519-05

Exponential Stability and Existence of Periodic Solution of a Kind of Differential System with Delay and Varible Coefficient
LIU Chang-dong.Exponential Stability and Existence of Periodic Solution of a Kind of Differential System with Delay and Varible Coefficient[J].Journal of Sichuan University (Natural Science Edition),2004,41(3):519-523.
Authors:LIU Chang-dong
Abstract:By constructing V functional with exponential function factor, a class of nonlinear differential system with delay and varible coefficient is researched. Sufficient conditions for global exponential stability and existence of periodic solution of this system are obtained.
Keywords:nonlinear differential system  exponential stability  peoridic solution
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