Existence of Almost Periodic Solutions to Nth‐Order Neutral Differential Equations with Piecewise ConstantArguments

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.