一类中立型泛函微分方程周期解的存在性  

Periodic Solutions for a Kind of Neutral Functional Differential Equation

作　　者：张莉[1] 黄先开[1] 葛渭高[2] 

机构地区：[1]北京联合大学基础部,北京100101 [2]北京理工大学数学学院,北京100081

出　　处：《北京理工大学学报》2011年第12期1489-1492,共4页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(10671012);北京联合大学自然科学基金资助项目(zk201011x);北京市自然科学基金资助项目(1122016)

摘　　要：考虑一类中立型二阶泛函微分方程周期解的存在性.通过抽象连续性定理,得到此方程周期解存在的一些充分条件.在讨论过程中,利用一些分析技巧,得到方程中的非线性项所要满足的条件不同于已有文献的结论.The existence of periodic solutions for a kind of second-order functional differential equation is studied. By using the abstract continuation theorem, some sufficient conditions of periodic solutions in existence of the equation are obtained. The conditions that the nonlinear terms of the equation should be satisfied are derived and they are not the same with the conclusions appeared in the previous papers.

关 键 词：周期解 抽象连续性定理 微分方程 

分 类 号：O241.8[理学—计算数学]