一类带时滞的偏泛函微分方程周期解的存在性

The existence of periodic solutions for a group of delay partial functional differential equations

笔者在本文对带时滞的偏泛函微分方程,u(t)=Au(t)+F(ut),就A是强连续半群T(t)的无穷小生成元,F是关于us∈C([一致Lip连续的情形,证明了其相应积分方程及微分方程周期解的存在性.?r,0],Xα)

In this paper, we inverstigate a group of delay partial functional differential equations by proving two theorems. For A.F haoing different properties we assert the existerce of periodic solution for these equations and their respective integral equations.