On Certain New Integral Inequalities and their Applications

Volume 3, Issue 4, 2002

Article 65

ON CERTAIN NEW INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

SCHOOL OF COMMUNICATIONS AND INFORMATICS
VICTORIA UNIVERSITY OF TECHNOLOGY
PO BOX 14428
MELBOURNE CITY MC
VICTORIA 8001, AUSTRALIA.
E-Mail: sever@matilda.vu.edu.au

DEPARTMENT OF APPLIED MATHEMATICS,
CHANGWON NATIONAL UNIVERSITY,
CHANGWON 641-773, KOREA
E-Mail: yhkim@sarim.changwon.ac.kr

Received 8 April, 2001; Accepted 15 June, 2002.
Communicated by: D.D. Bainov

ABSTRACT. The aim of the present paper is to establish some variants integral inequalities in two independent variables. These integral inequalities given here can be applied as tools in the boundedness and uniqueness of certain partial differential equations.

Key words:
Integral inequality, Two independent variables, Partial differential equations, Nondecreasing, Nonincreasing.

2000 Mathematics Subject Classification:
26D10, 26D15;

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