On Ulam’s Type Stability of the Linear Equation and Related Issues-Reference-Cited by-同舟云学术

On Ulam’s Type Stability of the Linear Equation and Related Issues

Published:2014 Issue: Volume:2014 Page:1-14
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Brzdęk Janusz¹,Ciepliński Krzysztof¹²^ORCID,Leśniak Zbigniew¹

Affiliation:

1. Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

2. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland

Abstract

This is a survey paper concerning stability results for the linear functional equation in single variable. We discuss issues that have not been considered or have been treated only briefly in other surveys concerning stability of the equation. In this way, we complement those surveys.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2014/536791.pdf

Reference80 articles.

1. On the Stability of the Linear Functional Equation

2. Transformations with boundedmth differences

3. On approximate isometries

4. Approximate Isometries of the Space of Continuous Functions

Cited by 40 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ulam Stability for Third-Order Linear Differential Equations with Variable Coefficients;Mediterranean Journal of Mathematics;2023-11-18

2. A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces;Journal of Fixed Point Theory and Applications;2022-12-20

3. Banach Limit and Ulam Stability of Nonhomogeneous Cauchy Equation;Mathematics;2022-05-15

4. On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning;Axioms;2022-03-21

5. Banach limit, fixed points and Ulam stability;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-03-05