Integral Inequalities of Gronwall-Bellman Type

Zareen A. Khan

Department of Mathematics, Princess Noura Bint Abdurehman University, Riyadh, KSA.

DOI: 10.4236/am.2014.521326                

Abstract

The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential and integral equations.

Keywords

Integral Inequalities, One Independent Variable, Partial Differential Equations, Nondecreasing, Nonincreasing

Conflicts of Interest

The authors declare no conflicts of interest.

References

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