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Title
HYERS-ULAM STABILITY FOR SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS.
Authors
GĂVRUŢĂ, PASC; SOON-MO JUNG; YONGJIN LI
Abstract
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″ + β(x)y = 0 with y(a) = y(b) = 0, then there exists an exact solution of the differential equation, near y.
Publication
Electronic Journal of Differential Equations, 2011, Vol 2011, p1