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一类时滞微分方程的ω-周期正解
引用本文:白星华.一类时滞微分方程的ω-周期正解[J].保山师专学报,2009,28(5):37-39.
作者姓名:白星华
作者单位:阳泉职业技术学院师范分院,山西,阳泉,045200
摘    要:考虑一类具有时滞的泛函微分方程x'(t)=-a(t)g(x(t))x(t)+λb(t)f(t,x(t-τ(t)))周期解的存在性问题,通过利用泛函分析方法研究此类方程,获得其周期解存在充分条件,得到两个新的定理,这些定理推广了已有的结果。

关 键 词:周期正解    特征值

Positive Periodic Solutions for a Class of Delay Differential Equations
BAI Xing-hua.Positive Periodic Solutions for a Class of Delay Differential Equations[J].Journal of Baoshan Teachers' College,2009,28(5):37-39.
Authors:BAI Xing-hua
Institution:BAI Xing-hua(Yangquan Branch of Vocational , Technical College Teachers,Shanxi Yangquan 045200)
Abstract:This paper we consider a class of delay differential equation x'(t)=-a(t)g(x(t))x(t)+λb(t)f(t,x(t-τ(t))) Periodic solution existence, through the use of functional analysis method for such equations, and obtain existence of Positive periodic solutions of the sufficient condition.
Keywords:Positive periodic solutions  Cone  Eigen-value  
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