논문KCI 등재
On some Gronwall type inequalities for a system integral equation
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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 up 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.
참고문헌 (5)
- "The stability of solutions of linear differential equations", 10, pp.643~647 (1943)
- "A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations", 7, pp.71~94 (1956)
- "On nonlinear integral inequalities in two independent variables", 34, pp.11~17 (1989)
- "Note on the derivatives with respect to a parameter of solutions of a system of differential equations", 20, pp.292~296 (1919)
- "Qualitative theory of di？erential equations" (1947)
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