Note On Hyers-Ulam Stability Criteria for Third Order Nonlinear Differential Equations with Forcing Term

Abstract

The stability of the ordinary differential equations has been investigated and the investigation is ongoing. In this paper we are concerned with note on Hyers-Ulam stability(HUs) criteria for third order nonlinear differential equations with forcing term. The third order nonlinear differential equations invesgated were transformed to integral equation, then, applied Bihari inequality and Gronwall-Bellman-Bihari(GBB) type inequality to arrive at our results. New criteria were established to prove HUs of nonlinear third order differential equations. Finally, examples are given to illustrate correctness our results.