On Hyers–Ulam and Hyers–Ulam–Rassias Stability of a Nonlinear Second-Order Dynamic Equation on Time Scales

Abstract

In this paper, we obtain sufficient conditions for Hyers–Ulam and Hyers–Ulam–Rassias stability of an abstract second–order nonlinear dynamic equation on bounded time scales. An illustrative example is given to show the applicability of the theoretical results.

Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales

“…In [19] Yasseen.N.A established the Hyers-Ulam-Rassias stability for the Volterra integral dynamic equation on time scales In [11]. By using a fixed point method, Mohamed Akkouchi presented the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability for a general class of nonlinear Volterra integral equations in Banach spaces .In [8]…”