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)
• Published : 2005.11.01

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.

References

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3. Some Difference Inequalities for Iterated Sums with Applications vol.2013, 2013, https://doi.org/10.1155/2013/804152