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http://dx.doi.org/10.4134/BKMS.2005.42.4.789

ON SOME GRONWALL TYPE INEQUALITIES FOR A SYSTEM INTEGRAL EQUATION  

KIM, BYUNG-IL (DEPARTMENT OF MATHEMATICS AND STATICS, COLLEGE OF NATURAL SCIENCE, CHUNG-ANG UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.4, 2005 , pp. 789-805 More about this Journal
Abstract
In this paper we consider analogous of Gronwall-type inequalities involving iterated integrals in the inequality (1.2) for functions when the function u in the right-hand side of the in­equality (1.2) is replaced by the function $u^P$ for some p. These inequalities are effective tools in the study of a system of an integral equation. We also provide some integral inequalities involving iterated integrals.
Keywords
Gronwall-type inequalities; integral equation; integral inequality; iterated integrals;
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