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ISSN : 1226-0657

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Vol.18 No.1

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STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.1, pp.63-78
https://doi.org/10.7468/jksmeb.2011.18.1.063
Kim, Yung-Jin
Kim,, Y. (2011). STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(1), 63-78, https://doi.org/10.7468/jksmeb.2011.18.1.063

Abstract

In the present paper, we obtain integral inequalities involving the Kurzweil-Stieltjes integrals which generalize Gronwall-Bellman inequality and we use the inequalities to verify existence of solutions of a certain integral equation. Such inequalities will play an important role in the study of impulsively perturbed systems [9].

keywords
Stieltjes derivatives, integral inequalities of Stieltjes type

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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