Advances in Difference Equations 
Volume 2008 (2008), Article ID 816091, 11 pages
doi:10.1155/2008/816091
Research Article

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

Li Wang and Chuanyi Zhang

 Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 10 December 2007; Accepted 4 June 2008

Recommended by Ondrej Dosly

Abstract

We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form (x(t)+x(t−1))′′=qx(2[(t+1)/2])+f(t), where [⋅] denotes the greatest integer function, q is a real nonzero constant, and f(t) is almost periodic.