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

Authors
Ghaemi, Mohammad BagherGordji, Madjid EshaghiAlizadeh, BadrkhanPark, 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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