Hyers-Ulam stability for second-order linear differential equations with boundary conditions

We prove the Hyers-Ulam stability of linear differential equations of second-order with boundary conditions or with initial conditions. That is, if y is an approximate solution of the differential equation $y''+ eta (x) y = 0$ with $y(a) = y(b) =0$, then there exists an exact solution...

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Bibliographic Details
Main Authors: Pasc Gavruta, Soon-Mo Jung, Yongjin Li
Format: Article
Language:English
Published: Texas State University 2011-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/80/abstr.html