【摘要】 引入(BC-∞,P)空间,综合应用Liapunov泛函方法以及Schauder不动点定理,讨论了一类具无穷时滞泛函微分方程x′(t)=(ft,xt)的周期解的存在性问题,将Yoshizawa定理推广到具无穷时滞滞后型周期泛函微分方程上去,得到周期解存在性更为科学的证明方法.更多还原

【Abstract】 Using(BC-∞,P) space,together with the comprehensive use of Liapunov′s functions method and Schauder′s Fixed Point Theorems,the author mainly discusses the existence of periodical solution on Functional Differential Equations with Infinite Delay,x′(t)= f(t,Xt),then implies Yoshizawa Theorems to Functional Differential Equations with Infinite Delay,aquiring the more scientific proving method on the existence of periodical solutions.更多还原