一类具有时滞大系统周期解的存在性  

The Existence of Periodic Solutions of a Class of Large System with Delays

作　　者：陈宁华 

机构地区：[1]福建幼儿师范高等专科学院,福州福建350007

出　　处：《湖北民族学院学报（自然科学版）》2013年第3期271-274,279,共5页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：福建省教育厅A类科技项目(JA11309)

摘　　要：讨论了一类具连续时滞和离散时滞的非线性积分方程在大系统情况下,礤周期解的存在唯一性问题,主要利用线性系统指数型二分性理论和泛函分析的方法,得到周期解存在性、唯一性的充分条件,并推广了原有的结论.In this paper, we consider the existence of periodic solutions of the certain nonlinear integro- dierential equations with continuous and discrete delays in the large system. By applying the theory of ex- ponential dichotomies of linear system and the method of func-tional analysis, some sucient conditions that guarantee the existence of periodic solutions of the system are obtained. Our results promote the origi- nal conclusions.

关 键 词：大系统 周期解 指数型二分性 

分 类 号：O175.14[理学—数学]