Qualitative properties of solutions of higher order difference equations with deviating arguments

Alina Gleska; Małgorzata Migda

doi:10.3934/dcdsb.2018016

Article Contents

2018, Volume 23, Issue 1: 239-252. Doi: 10.3934/dcdsb.2018016

This issue Previous Article Periodic solutions for nonlinear nonmonotone evolution inclusions Next Article Monotonic solutions of a higher-order neutral difference system

Qualitative properties of solutions of higher order difference equations with deviating arguments

Alina Gleska^, and
Małgorzata Migda

Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland

* Corresponding author: Alina Gleska
* Corresponding author: Alina Gleska

Received: December 2016

Published: November 2017

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Abstract

In the paper the general higher order difference equation

$(-1)^z Δ^m x(n)=f(n, x(σ_1(n)),x(σ_2(n)),..., x(σ_k(n)))$

with several deviating arguments is considered. According to the kind of the deviations $σ_i$ sufficient conditions for the equation to have property A and B are established.

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Mathematics Subject Classification: Primary: 39A10.

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References

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