On Hyers-Ulam Stability of a Perturbed Nonlinear Second Order Differential Equations Using Gronwall-Bellman-Bihari Inequality
1 Department of Mathematics, Adeyemi College of Education, Ondo, Nigeria
2 Department of Mathematics, University of Ibadan, Ibadan, Nigeria
* Corresponding author: fakunlesanmi@gmail.com
2 Department of Mathematics, University of Ibadan, Ibadan, Nigeria
* Corresponding author: fakunlesanmi@gmail.com
Abstract
In this paper, a nonlinear generalisation of GronwallBellman integral inequality is developed and used to
investigate Hyers-Ulam stability of a Perturbed nonlinear second order ordinary differential equation.
Keywords
Hyers-Ulam stability
nonlinear differential equation
perturbed
GronwallBellman integral inequality
How to Cite
Fakunle, I., & Arawomo, P. O. (2022). On Hyers-Ulam Stability of a Perturbed Nonlinear Second Order Differential Equations Using Gronwall-Bellman-Bihari Inequality. Nigerian Journal of Mathematics and Applications, 32(1), 189-201. https://doi.org/10.67897/njma.2022.68aa94nx
I. Fakunle, and P. O. Arawomo, "On Hyers-Ulam Stability of a Perturbed Nonlinear Second Order Differential Equations Using Gronwall-Bellman-Bihari Inequality," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 189-201, June 2022. doi: 10.67897/njma.2022.68aa94nx
