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2011 Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations
A. Javadian, E. Sorouri, G. H. Kim, M. Eshaghi Gordji
J. Appl. Math. 2011: 1-10 (2011). DOI: 10.1155/2011/813137

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 y 1 : I X in C 2 ( I ) such that y ' ' 1 + p ( x ) y 1 + q ( x ) y 1 = 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.

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A. Javadian. E. Sorouri. G. H. Kim. M. Eshaghi Gordji. "Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations." J. Appl. Math. 2011 1 - 10, 2011. https://doi.org/10.1155/2011/813137

Information

Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1241.34014
MathSciNet: MR2854970
Digital Object Identifier: 10.1155/2011/813137

Rights: Copyright © 2011 Hindawi

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