Gronwall-Bellman-Bihari Type Integral Inequalities of a Certain Class of Nonlinear Second Order Differential Equations
1 Department of Mathematics, Adeyemi College of Education, Ondo, Nigeria
2 Department of Mathematics, University of Ibadan, Ibadan, Nigeria
3 Department of Mathematics, Adeyemi Federal University of Education, Ondo, Nigeria
* Corresponding author: fakunlesanmi@gmail.com
2 Department of Mathematics, University of Ibadan, Ibadan, Nigeria
3 Department of Mathematics, Adeyemi Federal University of Education, Ondo, Nigeria
* Corresponding author: fakunlesanmi@gmail.com
Abstract
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 results.
Keywords
Integral equation
Integral inequalities
Asymptotic
Boundedness
Nonlinear differential equation
How to Cite
Fakunle, I., Arawomo, P. O., & Ogunbona, B. D. (2022). Gronwall-Bellman-Bihari Type Integral Inequalities of a Certain Class of Nonlinear Second Order Differential Equations. Nigerian Journal of Mathematics and Applications, 32(2), 315-323. https://doi.org/10.67897/njma.2022.iyt0uecc
I. Fakunle, P. O. Arawomo, and B. D. Ogunbona, "Gronwall-Bellman-Bihari Type Integral Inequalities of a Certain Class of Nonlinear Second Order Differential Equations," Nigerian Journal of Mathematics and Applications, vol. 32, no. 2, pp. 315-323, December 2022. doi: 10.67897/njma.2022.iyt0uecc
