一类具有脉冲效应的时滞线性微分方程的概周期解(英文)

Almost Periodic Solutions of Linear Impulsive Delay Differential Equations

基于压缩不动点原理,考虑一类具有脉冲效应的时滞微分方程概周期解的存在性问题,在一定条件下获得了系统存在唯一概周期的一组充分条件.

This paper deals with the existence of almost periodic solutions of linear impulsive delay differential equations as follows,{x＇=A（t）x（t＋∑i=1^n Ai（t）x（t-ri）＋h（t）,t≠τk,τk〈τk＋1,k=±1,±2L,△x（t）=Bkx（t）＋Ik（x（t））＋pk,t=τk,by using the fixed point theorem of contraction mapping prmctple we present a set of sufficient conditions to ensure the existence and uniqueness of almost periodic solutions of impulsive delay differential equations in some closed convex set.