ULAM STABILITY OF EULER TYPE NONLINEAR THIRD ORDER DIFFERENTIAL EQUATION WITH FORCING TERM

ULAM STABILITY OF EULER TYPE

Abstract

In this paper, Ulam stability of Euler type nonlinear third order differential equation with forcing term is discussed. The stability of Euler type nonlinear third order differential equation is determined via Hyres-Ulam and Hyers-Ulam-Rassias stability. This is achieved by using the extension of Gronwall-Bellman integral inequality called the Gronwall-Bellman-Bihari type integral inequality to arrive at the result. The obtained results are not only new but also include many outstanding results in the literature. Examples are given to illustrate the theoretical aspect of the results.