Hyers-Ulam stability criteria for third order nonlinear differential equations with nonlinear damping
Abstract
This paper is concerned with the Hyers-Ulam stability of third order nonlinear differential equations with nonlinear damping. New criteria are developed to transform the ordinary differential equations under consideration to integral inequalities. By employing the Gronwall-Bellman-Bihari type integral inequality, the stability of ordinary differential equations is proved. Moreover, the Hyers-Ulam constants are established. Lastly, the obtained results are not only new but also included the results stated in [14, 17].
- Published
- 3 April 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Ilesanmi Fakunle, Folorunso Ojo Balogun, Bankole Vincent Akinremi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
I. Fakunle, F. O. Balogun, B. V. Akinremi, Hyers-Ulam stability criteria for third order nonlinear differential equations with nonlinear damping, Adv. Inequal. Appl. 2025 (2025), 4. https://doi.org/10.28919/aia/9219
BibTeX
@article{Fakunle2025,
author = {Fakunle, Ilesanmi and Balogun, Folorunso Ojo and Akinremi, Bankole Vincent},
title = {Hyers-Ulam stability criteria for third order nonlinear differential equations with nonlinear damping},
journal = {Adv. Inequal. Appl.},
volume = {2025},
year = {2025},
pages = {4},
doi = {10.28919/aia/9219}
}