Existence of Almost Periodic Solutions to Nth-Order Neutral Differential Equations with Piecewise Constant Arguments

Abstract EN

We present some conditions for the existence and uniqueness of almost periodic solutions of Nth-order neutral differential equations with piecewise constant arguments of the form (x(t)+px(t−1))(N)=qx([t])+f(t), here [⋅] is the greatest integer function, p and q are nonzero constants, N is a positive integer, and f(t) is almost periodic.