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

Rong-Kun Zhuang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/186361

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:186361

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