%0 Journal Article
%T On the Existence and Uniqueness of Periodic Solutions of a Kind ofNeutral Integro-Differential Equations<br>一类中立型积分微分方程周期解的存在性和唯一性
%A ZHANG Zhixin
%A JIANG Wei
%A <br>张志信
%A 蒋威
%J 系统科学与数学
%D 2008
%I 
%X The existence and uniqueness of periodic solutions of neutral integro-differential equations with both continuous and discrete delays of the form $$\frac{\rm d}{{\rm d}t}\Bigx(t)+\sum\limits_{j=1}^{q}e_{j}(t)x(t-\delta_{j}(t))\Big] =A(t,x(t))x(t)+\int_{-\infty}^{t}C(t,s)x(s){\rm d}s+\sum\limits_{i=1}^{l}g_{i}(t,x(t-\tau_{i}(t)))+b(t),$$ $$\frac{\rm d}{{\rm d}t}\Bigx(t)+\sum\limits_{j=1}^{q}e_{j}(t)x(t-\delta_{j}(t))\Big]= A(t)x(t)+\int_{-\infty}^{t}C(t,s)x(s){\rm d}s+\sum\limits_{i=1}^{l}g_{i}(t,x(t-\tau_{i}(t)))+b(t)$$are considered. By combining the theory of exponential dichotomies of linear system and the method of functional analysis, some sufficient conditions that guarantee the existence and uniqueness of periodic solution of the system are obtained.
%K Delay
%K periodic solution
%K exponential dichotomies<br>时滞
%K 周期解
%K 指数型二分性.
%K 中立型积分微分方程
%K 周期解
%K 解的存在性和唯一性
%K NEUTRAL
%K KIND
%K PERIODIC
%K SOLUTIONS
%K 结果
%K 文献
%K 相关
%K 导数
%K 时滞项
%K 研究
%K 充分性条件
%K 中立型系统
%K 代换
%K 技巧
%K 方法
%K 泛函分析
%K 理论
%K 二分性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=9DFDF1ADBECA03C1915D73A22E1F8820&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=E158A972A605785F&sid=E57FE519484CFB70&eid=BD7D27247C63490C&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=19