Solvability and representations of the general solutions to some nonlinear difference equations of second order-Reference-Cited by-同舟云学术

Solvability and representations of the general solutions to some nonlinear difference equations of second order

Published:2023 Issue:7 Volume:8 Page:15148-15165
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Stević Stevo¹²

Affiliation:

1. Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/Ⅲ, Beograd 11000, Serbia

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>We give detailed theoretical explanations for getting the closed-form formulas and representations for the general solutions to four special cases of a class of nonlinear difference equations of second order considered in the literature, present an extension of the class of difference equations which is solvable in closed form, analyze some results on the long-term behavior of the solutions to the class of equations, and give some results on convergence.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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