TITLE:
On a Class of Gronwall-Bellman Type Inequalities
AUTHORS:
Zareen A. Khan
KEYWORDS:
Integral Inequalities, Two Independent Variables, Partial Differential Equations, Nondecreasing, Nonincreasing
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.6,
June
25,
2014
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.