Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class-Reference-Cited by-同舟云学术

Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class

Published:2021-11-17 Issue:1 Volume:2021 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Stević Stevo,Iričanin Bratislav,Kosmala Witold,Šmarda Zdeněk

Abstract

AbstractThere has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied. We show that there is a class of theoretically solvable difference equations generalizing the hyperbolic-cotangent one. Our analysis shows a bit unexpected fact, namely that the solvability of the class is based on some algebraic relations, not closely related to some trigonometric ones, which enable us to solve them in an elegant way. Some examples of the difference equations belonging to the class which are practically solvable are presented, as well as some interesting comments on connections of the equations with some iteration processes.

Funder

Vysoké Učení Technické v Brně

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-021-02720-w.pdf

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