Generalized <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>β</mi> <mo>−</mo> </math>Hyers–Ulam–Rassias Stability of Impulsive Difference Equations-Reference-Cited by-同舟云学术

Generalized $β -$ Hyers–Ulam–Rassias Stability of Impulsive Difference Equations

Published:2022-09-15 Issue: Volume:2022 Page:1-12
ISSN:1687-5273
Container-title:Computational Intelligence and Neuroscience
language:en
Short-container-title:Computational Intelligence and Neuroscience

Author:

Almalki Yahya¹^ORCID,Rahmat Gul²,Ullah Atta²,Shehryar Fatima²,Numan Muhammad³,Ali Muhammad Usman³^ORCID

Affiliation:

1. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia

2. Department of Mathematics, Islamia College Peshawar, Peshawar, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan

Abstract

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.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

General Mathematics,General Medicine,General Neuroscience,General Computer Science

Link

http://downloads.hindawi.com/journals/cin/2022/9462424.pdf

Reference18 articles.

1. Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces

2. Theory of impulsive differential equations;D. D. Bainov,1989

3. Impulsive Differential Equations and Inclusions

4. On a new class of abstract impulsive differential equations

5. Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

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