时滞三阶微分方程周期解存在性的充分条件(英文)  

Sufficient Conditions for the Existence of Periodic Solutions to Some Third Order Differential Equations with Deviating Argument

作　　者：汪娜[1] 

机构地区：[1]池州学院数学系,安徽池州247000

出　　处：《应用数学》2008年第4期661-670,共10页Mathematica Applicata

基　　金：the Natural Science Foundation of Anhui Province of China(KJ2008B247);RSPYT of Anhui Educational Bureau(2008jq1111)

摘　　要：我们利用Mawhin重合度拓展定理,研究了一类时滞三阶微分方程解的存在性问题,得到了其存在2π周期解的新的结果.值得关注的是,我们允许滞量τ是一个函数,并且所得结论与时滞τ(t)有关.同时给出一个实例来论证我们的结果.By means of the abstract continuation theorem, we study some third order functional differential equations with deviating arguments,some new results on the existence of 2π- periodic solutions are obtained. The interest is that we allow the deviating argument r to be a function, and also the results（Theorem 1.1 and Corollary 1.1）are related to the delay r（t）. Meanwhile,we give an example to demonstrate our result.

关 键 词：周期解 重合度拓展定理 时滞 

分 类 号：O175.6[理学—数学]