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一类一阶中立型泛函微分方程周期解的存在与唯一性 被引量:10

Existence and Uniqueness of Periodic Solutions for a Class of First Order Neutral Functional Differential Equations
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摘要 利用重合度理论研究并获得了如下一类一阶中立型泛函微分方程T-周期解的存在与唯一性(x(t)+Bx(t-δ))′:g1(t,x(t))+g2(t,x(t-τ(t)))+p(t). In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the first order neutral functional differential equation of the form (x(t)+Bx(t-δ))'=g1(t,x(t))+g2(t,x(t-τ(t)))+p(t).
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2006年第6期1347-1354,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金(10371034) 湖南省自然科学基金(05JJ40009)
关键词 一阶 中立型 周期解 重合度 first order neutral periodic solutions coincidence degree
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