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.
出处
《应用数学》
CSCD
北大核心
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)
关键词
周期解
重合度拓展定理
时滞
Periodic solution
Continuation theorem
Deviating argument
