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

Title
Hyers-ulam stability of exact second-order linear differential equations
Author
박춘길
Keywords
Mathematics, Applied; Mathematics; Mathematics; Abstract
Issue Date
2012-03
Publisher
Springer
Citation
Advances in Difference Equations, 2012, 36
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.
URI
https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-36http://hdl.handle.net/20.500.11754/67387
ISSN
1687-1839
DOI
10.1186/1687-1847-2012-36
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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