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Zbl 1188.34069
Li, Yongjin; Shen, Yan
Hyers-Ulam stability of linear differential equations of second order. (English)
[J] Appl. Math. Lett. 23, No. 3, 306-309 (2010). ISSN 0893-9659

Summary: We prove the Hyers-Ulam stability of linear differential equations of second order. That is, if $y$ is an approximate solution of the differential equation $y{^{\prime}}{^{\prime}}+\alpha y{^{\prime}}+\beta y=0$, then there exists an exact solution of the differential equation near to $y$.

MSC 2000:: *34D30 Structural stability of ODE
34A30 Linear ODE and systems

Keywords: Hyers-Ulam stability; differential equation

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Zentralblatt MATH Berlin [Germany]