Existence of Almost Periodic Solutions to ð ‘ th-Order Neutral Differential Equations with Piecewise Constant Arguments

Rong-Kun Zhuang

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

We present some conditions for the existence and uniqueness of almost periodic solutions of ð ‘ th-order neutral differential equations with piecewise constant arguments of the form ( ð ‘¥ ( ð ‘¡ ) + ð ‘ ð ‘¥ ( ð ‘¡ − 1 ) ) ( ð ‘ ) = ð ‘ž ð ‘¥ ( [ ð ‘¡ ] ) + ð ‘“ ( ð ‘¡ ) , here [ â‹… ] is the greatest integer function, ð ‘ and ð ‘ž are nonzero constants, ð ‘ is a positive integer, and ð ‘“ ( ð ‘¡ ) is almost periodic.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:186361

DOI: 10.1155/2012/186361

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