一类时滞微分方程周期解的存在性  

Existence of Periodic Solutions for a Class of Differential Equations with Continuous and Discrete Delays

作　　者：邓春红[1] 冯春华[2] 

机构地区：[1]湖南科技学院数学与计算科学系,湖南永州425006 [2]广西师范大学数学科学学院,广西桂林541004

出　　处：《广西科学》2009年第1期23-26,31,共5页Guangxi Sciences

摘　　要：运用重合度理论中的延拓定理得到一类具有连续时滞和离散时滞的微分方程周期解存在的判别准则,并用1个实例来验证其应用性.该准则推广了已知的结果,具有较好的应用性.By using the continuity theorem in coincidence degree theory, we obtain the criteria of the existence of the periodic solution for a class of differential equations with continuous and discrete delays, and verify its application by an example. The criteria generals some results obtained and has better application.

关 键 词：微分方程 周期解 延拓定理 

分 类 号：O175.1[理学—数学]