TITLE:
Integral Inequalities of Gronwall-Bellman Type
AUTHORS:
Zareen A. Khan
KEYWORDS:
Integral Inequalities, One Independent Variable, Partial Differential Equations, Nondecreasing, Nonincreasing
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.21,
December
15,
2014
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.