Asymptotically polynomial solutions to difference equations of neutral type

Janusz Migda

Applied Mathematics and Computation, 2016, vol. 279, issue C, 16-27

Abstract: Asymptotic properties of solutions to difference equation of the form Δm(xn+unxn+k)=anf(n,xσ(n))+bnare studied. We give sufficient conditions under which all solutions, or all solutions with polynomial growth, or all nonoscillatory solutions are asymptotically polynomial. We use a new technique which allows us to control the degree of approximation.

Keywords: Difference equation; Neutral equation; Asymptotic behavior; Asymptotically polynomial solution; Nonoscillatory solution (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:279:y:2016:i:c:p:16-27

DOI: 10.1016/j.amc.2016.01.001

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