P. O. Arawomo

Department of Mathematics, University of Ibadan, Ibadan, Nigeria

2 Publications

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Publications 2

Research Article Vol. 32, Issue 2

Gronwall-Bellman-Bihari Type Integral Inequalities of a Certain Class of Nonlinear Second Order Differential Equations

I. Fakunle^*, P. O. Arawomo, B. D. Ogunbona

In this paper, we obtain nonlinear integral inequalities similar to Gronwall-Bellman-Bihari type. These inequalities are used to establish the boundedness and asymptotic behaviour of solutions of certain class of nonlinear second order differential equations. An example where f is a singular function is presented to show the application of our main...

DOI: 10.67897/njma.2022.iyt0uecc

Dec, 2022 Vol. 32, Issue 2

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Research Article Vol. 32, Issue 1

On Hyers-Ulam Stability of a Perturbed Nonlinear Second Order Differential Equations Using Gronwall-Bellman-Bihari Inequality

I. Fakunle^*, P. O. Arawomo

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.

DOI: 10.67897/njma.2022.68aa94nx

Jun, 2022 Vol. 32, Issue 1 4 views 1 downloads

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