一类中立型退化时滞微分方程的周期解  

A Class of the Periodic Solution of Singular Neutral Different Equation with Delay

作　　者：夏文华[1] 

机构地区：[1]湖南工程学院数理系,湘潭411101

出　　处：《数学理论与应用》2010年第4期45-48,共4页Mathematical Theory and Applications

基　　金：国家自然科学基金(69934030);湖南省自科基金资助(07JJ6112);湖南省教育厅课题(09C256)资助

摘　　要：讨论了一类中立型退化时滞微分方程的周期解的存在条件,并且给出了二维退化滞后微分方程的周期解的存在性问题,且给出了一个充要条件和两个充分条件,最后举例说明结论的有效性。The existential conditions of periodic solution of singular neutral differential equation with delay are investigated.Particularly,the problem of existence of periodic solution of two-dimensional singular differential equations with delay is presented,and several sufficient and essential conditions are obtained.At last,an example is given to illustrate the proposed method.

关 键 词：中立型 退化时滞微分方程 周期解 

分 类 号：O175[理学—数学]