On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type

- Journal title : Kyungpook mathematical journal
- Volume 54, Issue 4, 2014, pp.555-575
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2014.54.4.555

Title & Authors

On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type

El-Owaidy, Hassan Mostafa; Ragab, Abdelwahab Abbas; Eldeeb, Ahmed Abdel-Moneim; Abuelela, Waleed Mostafa Kamal;

El-Owaidy, Hassan Mostafa; Ragab, Abdelwahab Abbas; Eldeeb, Ahmed Abdel-Moneim; Abuelela, Waleed Mostafa Kamal;

Abstract

In this paper, we establish some new nonlinear integral inequalities of Gronwall-Bellman type. These inequalities generalize some famous inequalities which can be used in applications as handy tools to study the qualitative as well as quantitative properties of solutions of some nonlinear ordinary differential and integral equations. More accurately we extend certain results which have been proved in A. Abdeldaim and M. Yakout [1] and H. El-Owaidy, A. A. Ragab, A. Abdeldaim [7] too.

Keywords

Gronwall-Bellman inequality;integral inequalities;ordinary differential equations;integral equations;

Language

English

Cited by

1.

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