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NEW GRONWALL–OU-IANG TYPE INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

Part of: Functional-differential and differential-difference equations Partial differential equations Inequalities

Published online by Cambridge University Press:  01 July 2008

YEOL JE CHO ,
YOUNG-HO KIM  and
JOSIP PEČARIĆ
YEOL JE CHO
Affiliation:
Department of Mathematics Education, The Research Institute of Natural Sciences, College of Education, Gyeongsang National University, Chinju 660-701, Republic of Korea (email: yjcho@gnu.ac.kr)
YOUNG-HO KIM*
Affiliation:
Department of Applied Mathematics, Changwon National University, Changwon, Kyung-Nam 641-773, Republic of Korea (email: yhkim@sarim.changwon.ac.kr)
JOSIP PEČARIĆ
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 1000 Zagreb, Croatia (email: pecaric@element.hr)
*
✉For correspondence; e-mail: yhkim@sarim.changwon.ac.kr
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Abstract

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Some new Gronwall–Ou-Iang type integral inequalities in two independent variables are established. We also present some of its application to the study of certain classes of integral and differential equations.

Keywords

integral inequalitiesretarded integral inequalityretarded differential equationspartial delay differential equations

MSC classification

Secondary: 26D10: Inequalities involving derivatives and differential and integral operators 34K10: Boundary value problems 35B35: Stability
Type
Research Article
Information
The ANZIAM Journal , Volume 50 , Issue 1 , July 2008 , pp. 111 - 127
Copyright
Copyright © Australian Mathematical Society 2009

References

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