Hyers-ulam stability of exact second-order linear differential equations
- Authors
- Ghaemi, Mohammad Bagher; Gordji, Madjid Eshaghi; Alizadeh, Badrkhan; Park, Choonkil
- Issue Date
- Mar-2012
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- Hyers-Ulam stability; exact second-order linear differential equation
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 7
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Start Page
- 1
- End Page
- 7
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/166099
- DOI
- 10.1186/1687-1847-2012-36
- ISSN
- 1687-1839
- Abstract
- 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.
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