文章基本信息

标题：Hyers-ulam stability of exact second-order linear differential equations
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作者：Mohammad Bagher Ghaemi ; Madjid Eshaghi Gordji ; Badrkhan Alizadeh 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：36
DOI：10.1186/1687-1847-2012-36
语种：English
出版社：Hindawi Publishing Corporation
摘要：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.
关键词：Hyers-Ulam stability ; exact second-order linear differential equation