Hyers-Ulam-Rassias Instability for Bernoulli's and Nonlinear Differential Equations

Abstract

In this paper we have obtained integral sufficient conditions under which the zero solution of nonlinear differential equations of first order with zero initial condition is unstable in Hyers-Ulam-Rassias sense. We also have proved the Hyers-Ulam-Rassias instability of Bernoulli’s differential equation with zero initial condition. To illustrate the results we have given three examples.

Key words and phrases. Hyers -Ulam-Rassias , Instability, Nonlinear, Differential equations.

2000 Mathematics Subject Classification. Primary 44A10; Secondary 39B82, 34A40.