Some results on Gronwall-Bellman integral inequalities

Authors

  • Sunday Faleye University of Lagos
  • Adesanmi Mogbademu University of Lagos

Keywords:

Integral inequality, Gronwall-Bellman, Gronwall’s lemma, nonlinear partial differential equation

Abstract

In this paper, we establish some basic integral inequalities of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown functions of integral equations. An example to illustrate possible applications of our result is included. 

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Author Biography

Adesanmi Mogbademu, University of Lagos

A Senior Lecturer in University of Lagos, AKoka, Nigeria; Department of Mathematics.

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Published

2021-10-25

Issue

Vol. 3 (2021)

Section

Articles

License

Copyright (c) 2021 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.