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

Khaled M. Hyasat (1) and Maher Nazmi Qarawani (2)

(1) (Corresponding author) Department of Basic Sciences And Mathematics, Philadelphia University, Jordan

Email address: k_hyasat@philadelphia.edu.jo

 

(2) Department of Mathematics, Al-Quds Open University, Salfit, Palestine

Email address: mkerawani@qou.edu

Doi : https://doi.org/10.47013/15.4.5

Cited by : Jordan J. Math & Stat., 15 (4A) (2022), 857 - 870

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Received on: April 28, 2021;                                           Accepted on: Dec. 16, 2021

 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 Bernoulliís differential equation with zero initial condition. To illustrate the results we have given three examples.

Keywords: Hyers -Ulam-Rassias , Instability, Nonlinear, Differential equations.