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
- Files in This Item:
- Hyers-ulam stability of exact second-order linear differential equations.pdfDownload
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