Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2004; 41(3): 559-571

Printed September 1, 2004

Copyright © The Korean Mathematical Society.

On some Gronwall type integral inequalities and their applications

Byung-Il Kim

Chung-Ang University

Abstract

The aim of the present paper is to establish some nonlinear integral inequalities in 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 equations.

Keywords: integral inequality, two independent variables, partial differential equations, nondecreasing, nonincreasing

MSC numbers: 26D15, 35A05