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

Ghaemi, Mohammad Bagher; Gordji, Madjid Eshaghi; Alizadeh, Badrkhan; Park, Choonkil

doi:10.1186/1687-1847-2012-36

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

Ghaemi, Mohammad Bagher;
Gordji, Madjid Eshaghi;
Alizadeh, Badrkhan;
Park, Choonkil

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초록

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.

키워드

Hyers-Ulam stability; exact second-order linear differential equation; 1ST-ORDER

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

저자: Ghaemi, Mohammad Bagher; Gordji, Madjid Eshaghi; Alizadeh, Badrkhan; Park, Choonkil

DOI: 10.1186/1687-1847-2012-36

발행일: 2012-03

유형: Article

저널명: Advances in Difference Equations

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