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

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  • Rong-Kun Zhuang

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:186361
DOI: 10.1155/2012/186361
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