混合型退化时滞微分方程的周期解  

The periodic solution of compound singular differential equation with delay

作　　者：张志信[1] 蒋威[1] 

机构地区：[1]安徽大学数学与计算科学学院,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2006年第1期4-6,共3页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10241005);教育部科学技术研究基金资助项目(205068);安徽大学创新团队基金资助项目

摘　　要：首先讨论含有两个时滞的混合型退化时滞微分方程的周期解问题,给出了混合型退化时滞微分方程周期解存在的充分必要条件;其次对二维的混合型退化时滞微分方程给出了周期解存在性的代数判据.In this paper, we study the existence of periodic solution of compound singular differential equation with delay, and necessary and sufficient conditions are obtained for the existence of periodic solution of compound singular differential equation with delay, particularly, the author give the criteria of existence of periodic solution of two - dimensional compound singular differential equation with delay, finally a numeric example is presented to verify the validity of criteria.

关 键 词：退化时滞微分方程 混合型退化时滞微分方程 周期解 

分 类 号：O175.15[理学—数学]