ON SOME GRONWALL TYPE INEQUALITIES FOR A SYSTEM INTEGRAL EQUATION

Title & Authors
ON SOME GRONWALL TYPE INEQUALITIES FOR A SYSTEM INTEGRAL EQUATION
KIM, BYUNG-IL;

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 $\small{u^P}$ 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;
Language
English
Cited by
1.
Some New Difference Inequalities and an Application to Discrete-Time Control Systems, Journal of Applied Mathematics, 2012, 2012, 1
2.
A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity, Journal of Applied Mathematics, 2014, 2014, 1
3.
Some Difference Inequalities for Iterated Sums with Applications, Abstract and Applied Analysis, 2013, 2013, 1
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