一类高阶非自治的时滞Duffing型方程周期解  

Periodic Solutions of A Kind of Nonautonomous High Order Delay Duffing Equation

作　　者：陈月红[1] 

机构地区：[1]广东技术师范学院计算机学院,广东广州510665

出　　处：《海南大学学报（自然科学版）》2009年第3期219-224,共6页Natural Science Journal of Hainan University

基　　金：国家自然科学基金资助项目(10071045)

摘　　要：利用重合度理论,研究了一类非自治的具复杂偏差变元的高阶时滞Duffing型泛函微分方程x(m)(t)+G(t,x(x(t-τ(t))))=q(t)周期解的存在性,并得到方程具有周期解的充分性条件.The theory of coincidence degree was used to analysis the existence of periodic solution of a kind of nonautonomous high order delay Dulling equation with a complex deviating argument, x^（m）（t）＋G（t,x（x（t-τ（t））））=q（t）. And the sufficient conditions of the existence of periodic solution of the equation were ob- tained.

关 键 词：周期解 重合度 复杂偏差变元 高阶时滞Duffing型方程 

分 类 号：O175.12[理学—数学]