一类中立型泛函微分方程周期解问题

PERIODIC SOLUTIONS FOR A KIND OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

本文利用 Fourier级数理论和不动点原理研究了一类中立型泛函微分方程 (NFDES) :ddt∫R[d D(s) ]x(t+s) =∫R[d L (s) ]x(t+s) +N x(t)的周期解问题 ,得到了解的存在性和唯一性的新结果 ,所得结果推广和改进了文 [5]的工作 .

In this paper,using the theory of Fourier expansions and fixed point principles,we study one kind of NFDESddt∫ R[dD(s)]x(t+s)=∫ R[dL(s)]x(t+s)+Nx(t) New results for existence and uniqueness of periodic solutions are obtained.Meanwhile,our results improve and extened some work in [5]