General solution to a difference equation and the long-term behavior of some of its solutions

Year 2025, Volume: 54 Issue: 1 , 38 - 56 , 28.02.2025

Stevo Stevic

https://doi.org/10.15672/hujms.1326208

https://izlik.org/JA35HG49HT

Abstract

Closed-from formulas for the general solution to a difference equation are given, generalizing some special cases in the literature. We also analyze and give some comments on the results on the long-term behaviour of some solutions of the special cases.

Keywords

difference equation , general solution , closed-form formula

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