HYERS-ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH CONSTANT COEFFICIENT
Keywords:
Hyers–Ulam stability, differential equations, characteristic equationAbstract
Y. Li and Y. Shen [12] have proved the Hyers-Ulam stability of differential equation y′′(x) + αy′(x) + βy(x) = 0, in the condition that its characteristic equation has two different positive roots. In this paper, we prove that the differential equation y′′(x) + αy′(x) + βy(x) = 0 has the Hyers-Ulam stability, no matter whether its characteristic roots are real or complex. Therefore the results obtained in this paper improve and extend the ones of [12].
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Published
2014-08-22
How to Cite
Xue, J. (2014). HYERS-ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH CONSTANT COEFFICIENT. Italian Journal of Pure and Applied Mathematics, 32, 419–424. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6195
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Articoli - Forum Editrice
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Copyright (c) 2014 Jianming Xue
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
