Geodesic
Hyers-Ulam stability for second-order linear differential equations with boundary conditions
Electronic journal of differential equations, Tome 2011 (2011)
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 $y''+ \beta (x) y = 0$ with $y(a) = y(b) =0$, then there exists an exact solution of the differential equation, near y.
Classification : 34K20, 26D10
Keywords: Hyers-Ulam stability, differential equation 
@article{EJDE_2011__2011__a45,
     author = {Gavruta,  Pasc and Jung,  Soon-Mo and Li,  Yongjin},
     title = {Hyers-Ulam stability for second-order linear differential equations with boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1230.34020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a45/}
}
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Gavruta,  Pasc; Jung,  Soon-Mo; Li,  Yongjin. Hyers-Ulam stability for second-order linear differential equations with boundary conditions. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a45/