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具有状态依赖时滞的微分方程的周期正解的存在性与多解性
引用本文:秦发金.具有状态依赖时滞的微分方程的周期正解的存在性与多解性[J].柳州师专学报,2007,22(1):118-123.
作者姓名:秦发金
作者单位:柳州师范高等专科学校,数学与计算机科学系,广西,柳州,545004
摘    要:讨论一类具有状态时滞的微分方程正周期解问题,利用锥不动点定理,获得了这类问题正解存在性和多重性的充分条件,推广了1]的结果.

关 键 词:状态时滞  正周期解  锥不动点定理  存在性
文章编号:1003-7020(2007)01-0118-06
修稿时间:2006-08-31

Existence and Multiplicity of Positive Periodic Solutions to a Class of Differential Equation with State-Dependent Delays
QIN Fa-jin.Existence and Multiplicity of Positive Periodic Solutions to a Class of Differential Equation with State-Dependent Delays[J].Journal of Liuzhou Teachers College,2007,22(1):118-123.
Authors:QIN Fa-jin
Institution:Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi 545004, China
Abstract:This paper discusses the positive periodic solutions to a class of differential equation with state-dependent delays by using the fixed-point theorem.From the discussion some sufficient conditions are obtained for the existence and multiplicity of positive periodic solutions.Therefore,the result on is extended and improved.
Keywords:state-dependent delay  positive periodic solution  fixed-point theorem  existence  multi-solutions
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