Hyers-Ulam-Rassias stability of some perturbed nonlinear second order ordinary differential equations

Author:

Fakunle Ilesanmi,Arawomo Peter Olutola

Abstract

In this paper we investigate the Hyers-Ulam-Rassias stability of a perturbed nonlinear second order ordinary differential equation using Gronwall-Bellman-Bihari type integral inequalities. Further, the paper also investigates the Hyers-Ulam-Rassias stability of four different cases of a perturbed nonlinear second order differential equation.

Publisher

Universidad Catolica del Norte - Chile

Subject

General Mathematics

Reference27 articles.

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2. [2] E. Bicer and C. Tunç, "New theorems for Hyers-Ulam Stability of Lienard Equation with Variable Time Lags", International Journal of Mathematics and Computer Science, vol. 2, no. 3, pp. 231-242, 2018.

3. [3] U. D. Dhongade and S. G. Deo, "Some Generalisations of Bellman-Bihari Integral Inequalities", Journal of Mathematical Analysis and Applications, vol. 44, pp. 218-226, 1973. doi: 10.1016/0022-247X(73)90039-5

4. [4] I. Fakunle and P. O. Arawomo, "Hyers-Ulam Stability of Certain Class of Nonlinear Second Order Differential Equations", International Journal of Pure and Applied Mathematical Sciences, vol. 11, no. 1, pp. 55-65, 2018.

5. [5] I. Fakunle and P.O. Arawomo, "On Hyers-Ulam Stability of Nonlinear Second Order Ordinary and Functional Differential Equations", International Journal of Differential Equations and Applications, vol. 17, no. 1, pp. 77-88, 2018.

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