带逐段常变量的二阶中立型延迟微分方程的概周期解

Almost Periodic Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument

本文讨论了带逐段常变量的二阶中立型延迟微分方程(x(t)+px(t-1))″=qx(2[(t+1)/2])+f(t)的概周期解的存在性,此处[.]表示取整函数,p,q是非零实数,|p|=1,q≠-4,f(t)是一个概周期函数.

In this paper, we investigate the existence of almost periodic solutions of second-order neutral delay-differential equations with piecewise constant argument of the form （x（t） ＋ px（t - 1））＂ = qx（2[（t ＋ 1）/2]） ＋ f（t）, where [. ] denotes the greatest integer function, p, q are nonzero real constants and ｜p｜ = 1, q ≠4, f（t） is almost periodic.