Stability Results for Some Higher-Order Difference Equations

Toka Diagana
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Toka Diagana: Howard University, Department of Mathematics

Chapter Chapter 12 in Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, 2013, pp 275-288 from Springer

Abstract: Abstract The main motivation of this chapter comes from Diagana et al. [58], in which not only a basic theory for almost periodic sequences on $$\mathbb{Z}_{+}$$ was introduced and studied but also discrete dichotomy techniques were utilized to find various sufficient conditions for the existence of globally attracting almost periodic solutions to some first-order nonautonomous system of difference equations. Furthermore, Diagana et al. [58] subsequently applied their abstract results to study discretely reproducing populations with and without overlapping generations.

Keywords: Higher Order Difference Equations; Diagana; Discrete Duality; Periodic Solutions; Periodic Sequence (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00849-3_12

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DOI: 10.1007/978-3-319-00849-3_12

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