Hyers-Ulam Stability Theorems for Second Order Nonlinear Damped Differential Equations with Forcing Term

Hyers-Ulam Stability Theorems

Authors

  • Ilesanmi Fakunle Adeyemi Federal University of Education
  • Peter Olutola Arawomo University of Ibadan, Ibadan

Abstract

In this paper Hyers-Ulam stability theorems of nonlinear second  order   damped differential equations  with  forcing  are considered. By using the Bihari  inequality and Gronwal-Bellman-Bihari integral inequality, we obtain new suffient conditions for the Hyers-Ulam stability of every nonlinear second order differential equation considered. Our results improve  and extent  some known results.

Author Biography

  • Peter Olutola Arawomo, University of Ibadan, Ibadan

    Mathematics,  Associate Professor

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Published

2023-04-24

Issue

Vol. 42 No. 1 (2023): JNMS

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

How to Cite

Hyers-Ulam Stability Theorems for Second Order Nonlinear Damped Differential Equations with Forcing Term: Hyers-Ulam Stability Theorems. (2023). Journal of the Nigerian Mathematical Society, 42(1), 19-35. https://ojs.ictp.it/jnms/index.php/jnms/article/view/886