We prove the generalized Hyers-Ulam stability of the 2nd-order linear differential equation of the form , with condition that there exists a nonzero in such that and 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.
"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