Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations

This paper describes the existence and uniqueness of the solution, β-Hyers–Ulam–Rassias stability and generalized β-Hyers–Ulam–Rassias stability of an impulsive difference system on bounded and unbounded discrete intervals. At the end, an example is given to illustrate the theoretical result....

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Detalles Bibliográficos
Autores principales: Almalki, Yahya, Rahmat, Gul, Ullah, Atta, Shehryar, Fatima, Numan, Muhammad, Ali, Muhammad Usman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9499751/
https://www.ncbi.nlm.nih.gov/pubmed/36156974
http://dx.doi.org/10.1155/2022/9462424
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author Almalki, Yahya
Rahmat, Gul
Ullah, Atta
Shehryar, Fatima
Numan, Muhammad
Ali, Muhammad Usman
author_facet Almalki, Yahya
Rahmat, Gul
Ullah, Atta
Shehryar, Fatima
Numan, Muhammad
Ali, Muhammad Usman
author_sort Almalki, Yahya
collection PubMed
description This paper describes the existence and uniqueness of the solution, β-Hyers–Ulam–Rassias stability and generalized β-Hyers–Ulam–Rassias stability of an impulsive difference system on bounded and unbounded discrete intervals. At the end, an example is given to illustrate the theoretical result.
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spelling pubmed-94997512022-09-23 Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations Almalki, Yahya Rahmat, Gul Ullah, Atta Shehryar, Fatima Numan, Muhammad Ali, Muhammad Usman Comput Intell Neurosci Research Article This paper describes the existence and uniqueness of the solution, β-Hyers–Ulam–Rassias stability and generalized β-Hyers–Ulam–Rassias stability of an impulsive difference system on bounded and unbounded discrete intervals. At the end, an example is given to illustrate the theoretical result. Hindawi 2022-09-15 /pmc/articles/PMC9499751/ /pubmed/36156974 http://dx.doi.org/10.1155/2022/9462424 Text en Copyright © 2022 Yahya Almalki et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Almalki, Yahya
Rahmat, Gul
Ullah, Atta
Shehryar, Fatima
Numan, Muhammad
Ali, Muhammad Usman
Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations
title Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations
title_full Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations
title_fullStr Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations
title_full_unstemmed Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations
title_short Generalized β−Hyers–Ulam–Rassias Stability of Impulsive Difference Equations
title_sort generalized β−hyers–ulam–rassias stability of impulsive difference equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9499751/
https://www.ncbi.nlm.nih.gov/pubmed/36156974
http://dx.doi.org/10.1155/2022/9462424
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