Almost periodic solutions of second-order neutral equations with piecewise constant arguments Original Research Article

In this paper, we present a theorem on the almost periodic solutions of second-order neutral equations with piecewise constant arguments of the form (x(t)+px(t−1))″=qx([t])+f(t),(x(t)+px(t−1))″=qx([t])+f(t), Turn MathJax on where [⋅][⋅] denotes the greatest integer function, p,qp,q (|p|>1|p|>1 or p=−1p=−1) are nonzero constants, and f(t)f(t) is almost periodic.