Generalized Hyers‐Ulam Stability of the Second‐Order Linear Differential Equations

A. Javadian, E. Sorouri, G. H. Kim and M. Eshaghi Gordji

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

Abstract: We prove the generalized Hyers‐Ulam stability of the 2nd‐order linear differential equation of the form y′′ + p(x)y′ + q(x)y = f(x), with condition that there exists a nonzero y1 : I → X in C2(I) such that y1′′+p(x)y1′+q(x)y1=0 and I is an open interval. As a consequence of our main theorem, we prove the generalized Hyers‐Ulam stability of several important well‐known differential equations.

Date: 2011
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https://doi.org/10.1155/2011/813137

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:813137

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