一类无穷时滞微分方程正周期解的存在多解性  

Existence and Multiplicity of Positive Periodic Solutions of a Class of Differential Equations with Infinite Delay

作　　者：孟鹏[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州12101

出　　处：《科技广场》2014年第4期28-31,共4页Science Mosaic

摘　　要：本文讨论了一类无穷时滞微分方程的正周期解的存在多解性问题,在研究过程中利用了不动点指数定理,算子理论与锥理论,获得了该类方程正周期解的存在性定理,并在此基础上获得了该类方程正周期解的多解性定理。This paper discusses the existence and multiplicity theorems of positive periodic solutions of an infinite delay differential equation. During the research, by utilizing the fixed point index theorem, the operator theorem and the cone theory, we obtain the existence theorem of positive periodic solutions of the equation, based on which we obtain the multiple solution theorem.

关 键 词：无穷时滞 不动点指数 锥 BANACH空间 

分 类 号：O175.12[理学—数学]