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

Fakunle, Ilesanmi ^[2] ; Arawomo, Peter Olutola ^[1]
1. [1] University of Ibadan
  
  University of Ibadan
  
  Nigeria
2. [2] Adyemi Federal University of Education.
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 5, 2023, págs. 1157-1175
Idioma: inglés
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Resumen
- 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.