Abstract and Applied Analysis
Volume 2012, Article ID 186361, 10 pages
http://dx.doi.org/10.1155/2012/186361
Research Article
Existence of Almost Periodic Solutions to th-Order Neutral Differential Equations with Piecewise Constant Arguments
Department of Mathematics, Huizhou University, Huizhou 516007, China
Received 12 November 2011; Accepted 12 December 2011
Academic Editor: Simeon Reich
Copyright © 2012 Rong-Kun Zhuang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We present some conditions for the existence and uniqueness of almost periodic solutions of th-order neutral differential equations with piecewise constant arguments of the form , here is the greatest integer function, and are nonzero constants, is a positive integer, and is almost periodic.