On a Class of Gronwall-Bellman Type Inequalities

Zareen A. Khan

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

DOI: 10.4236/apm.2014.46038                

Abstract

The aim of the present paper is to establish some new integral inequalities of Gronwall type involving functions of two independent variables which provide 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, Two Independent Variables, Partial Differential Equations, Nondecreasing, Nonincreasing

Conflicts of Interest

The authors declare no conflicts of interest.

References

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