Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations

被引：8

作者：

Hamza, Alaa E. ^{[1
]}

Alghamdi, Maryam A. ^{[1
]}

Alasmi, Suha A. ^{[1
]}

机构：

[1] Univ Jeddah, Coll Sci, Dept Math & Stat, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 35卷 / 03期

关键词：

Hyers-Ulam stability; Hyers-Ulam-Rassias stability; INEQUALITIES;

D O I：

10.22436/jmcs.035.03.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations associated with a general quantum difference operator. This operator includes as special cases Jackson q-difference and Hahn difference operators. At the end of the paper, an illustrative example is given to show the applicability of the theoretical results.

引用

页码：336 / 347

页数：12

共 15 条

[1]

Aldwoah K.A., 2012, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, V19, no, P93

[2] On some inequalities and stability results related to the exponential function [J].

Alsina, C ;

Ger, R .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 1998, 2 (04) :373-380

[3] Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales [J].

Anderson, Douglas R. ;

Onitsuka, Masakazu .

DEMONSTRATIO MATHEMATICA, 2018, 51 (01) :198-210

[4] Hahn Difference Operator and Associated Jackson-Norlund Integrals [J].

Annaby, M. H. ;

Hamza, A. E. ;

Aldwoah, K. A. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 154 (01) :133-153

[5] Quantum exponential functions in a Banach algebra [J].

Faried, Nashat ;

Shehata, Enas M. ;

El Zafarani, Rasha M. .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (01)

[6]

Hamza A., 2017, Adv Dynam Syst Appl, V12, P25

[7] Quantum Lp-spaces and inequalities of Hardy's type [J].

Hamza, Alaa E. ;

Alghamdi, Maryam A. ;

Alasmi, Suha A. .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 31 (03) :274-286

[8] A general quantum difference calculus [J].

Hamza, Alaa E. ;

Sarhan, Abdel-Shakoor M. ;

Shehata, Enas M. ;

Aldwoah, Khaled A. .

ADVANCES IN DIFFERENCE EQUATIONS, 2015,

[9] Some inequalities based on a general quantum difference operator [J].

Hamza, Alaa E. ;

Shehata, Enas M. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,

[10] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

← 1 2 →