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
• DOI: 10.22199/issn.0717-6279-5906
• Enlaces
  • Texto completo
• 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.

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