Hyers-ulam stability of exact second-order linear differential equations

In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant coefficients, Euler differential equation, Hermite's dif...

Full description

Saved in:
Bibliographic Details
Published inAdvances in difference equations Vol. 2012; no. 1; pp. 1 - 7
Main Authors Ghaemi, Mohammad Bagher, Gordji, Madjid Eshaghi, Alizadeh, Badrkhan, Park, Choonkil
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 23.03.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Classification
Difference and Functional Equations
Difference equations
Differential equations
Functional Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Stability
Hyers-Ulam stability
exact second-order linear differential equation
Online AccessGet full text
ISSN1687-1847
1687-1839
1687-1847
DOI10.1186/1687-1847-2012-36

Cover

More Information
Summary:In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant coefficients, Euler differential equation, Hermite's differential equation, Cheybyshev's differential equation, and Legendre's differential equation. The result generalizes the main results of Jung and Min, and Li and Shen. Mathematics Subject Classification (2010): 26D10; 34K20; 39B52; 39B82; 46B99.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2012-36