一类具有无穷时滞中立型泛函微分方程反周期解的存在性  

Existence of Anti-periodic Solution for a Class of Neutral Functional Differential Equation with Infinite Delays

作　　者：张洪彦[1] 王奇[1] 丁敏敏[1] 王志杰[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《佳木斯大学学报（自然科学版）》2012年第1期151-154,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：安徽省自然科学基金(090416237);安徽大学211基金(02303129;KJTD002B);教育部博士点基金(20103401120002)

摘　　要：研究一类具有无穷时滞中立型泛函微分方程反周期解的存在性问题,利用指数二分法和压缩映射定理,得到了反周期解存在的充分条件.In this paper, the anti - periodic solution for a class of neutral functional differential equations with infinite delays was discussed. By using exponential dichotomy and fixed point theorem, some results on the existence and uniqueness of anti - periodic solutions were obtained.

关 键 词：无穷时滞 中立型泛函微分方程 反周期解 压缩映射原理 

分 类 号：O175.6[理学—数学]