一类具复杂偏差变元的二阶中立型泛函微分方程的周期解  

Periodic Solutions to Second-order Neutral Functional Differential Equation with Complex Deviating Arguments

作　　者：罗芳琼[1] 姚晓洁[1] 秦发金[1] 

机构地区：[1]柳州师范高等专科学校数学与计算机科学系,广西柳州545004

出　　处：《柳州师专学报》2007年第3期113-117,共5页Journal of Liuzhou Teachers College

摘　　要：利用拓扑度理论,研究了一类具复杂偏差变元的二阶中立型泛函微分方程的周期解存在性问题,在阻尼项f有界和无界的条件下分别得到了其周期解存在的若干新的结果。Using the theory of topological degree, the author studies the existence of periodic solutions to a kind of second-order neutral functional differential equation with complex deviating arguments. On conditions that f is bounded or unbounded, the sufficient conditions for the existence of the periodic solutions are obtained, which have extended or improved the related reports in the literatures.

关 键 词：复杂偏差变元 二阶中立型泛函微分方程 周期解 拓扑度 

分 类 号：O175.8[理学—数学]