By using of the Gronwall inequality, we prove the Hyers-Ulam stability of differential equations of second order with initial conditions.
Qusuay H. Alqifiary. Soon-Mo Jung. "On the Hyers-Ulam Stability of Differential Equations of Second Order." Abstr. Appl. Anal. 2014 (SI53) 1 - 8, 2014. https://doi.org/10.1155/2014/483707