一类中立型微分积分方程周期解的存在性  

Periodic Solutions for a Class of Neutral Integro-Differential Equation with Several Delays

作　　者：王剑红 杨素芳 

机构地区：[1]山西药科职业学院,山西太原030031

出　　处：《忻州师范学院学报》2014年第2期4-7,共4页Journal of Xinzhou Teachers University

摘　　要：时滞微分方程是现代应用数学的一个重要分支。由于利用时滞微分方程描述问题充分考虑到了时间滞后的影响,更能准确地反映实际,文章在f有界的条件下,利用重合度理论中的Mawhin延拓定理,研究了一类多时滞中立型微分积分方程周期解的存在性。The delay differential equation is an important branch of modern applied Mathematics. It is often used to describe problems in dynamics,control theory,bionomics and economics,epidemiology and many other fields either about its experimental or applied aspects,when f is bounded,Using Mawhin＇s continuation theorem of Coincidence degree theory and some new priori estimate,our results generalize the corresponding results in the existing references.

关 键 词：微分积分方程 中立型 先验界 周期解 

分 类 号：O175.6[理学—数学]