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On the stability of linear differential equations of second order
- Issue Date
- Dec-2016
- Publisher
- SEMNAN UNIV
- Keywords
- Hyers-Ulam stability; linear differential equation of second order
- Citation
- INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, v.8, no.2, pp 65 - 70
- Pages
- 6
- Indexed
- ESCI
- Volume
- 8
- Number
- 2
- Start Page
- 65
- End Page
- 70
- ISSN
- 2008-6822
2008-6822
- Abstract
- The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation y ''(x) + alpha y'(x) + beta y(x) = f (x) in general case, where y is an element of C-2[a, b], f is an element of C[a, b] and -infinity < a < b < +infinity. The result of this paper improves a result of Li and Shen [Hyers-Ulam stability of linear differential equations of second order, Appl. Math. Lett. 23 (2010) 306-309].
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