一类具偏差变元的二阶微分方程周期解  

Periodic Solutions for a Kind of Second Order Differential Equations with a Deviating Argument

作　　者：刘道金[1] 鲁世平[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《杭州师范大学学报（自然科学版）》2009年第5期354-357,共4页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：安徽省自然科学基金(050460103);安徽省教育厅自然科学基金重点项目(2005kj031zd)

摘　　要：利用Mahwin重合度理论研究了一类具偏变元的二阶微分方程的T-周期解问题,得到了周期解存在若干新的结果,并推广了已有的结果.Basing on the theory of coincidence degree developed by Mawhin, the paper has studied a kind of second order functional equations with a deviating argument. Some new results about the existence of periodic solutions are obtained, which can generalize the known results.

关 键 词：周期解 重合度理论 偏差变元 

分 类 号：O175.6[理学—数学]