STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE

Kim, Yung-Jin; Kim, Yung-Jin

doi:10.7468/jksmeb.2011.18.1.063

P-ISSN3059-0604
E-ISSN3059-1309
KCI

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

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. , 18(1), 63-78, https://doi.org/10.7468/jksmeb.2011.18.1.063

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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

Reference

(1980). . J. Math. Anal. Appl., 73, 423-433. 10.1016/0022-247X(80)90288-7.

(2009). . Southeast Asian Bull. Math., 33, 703-713.

(1991). . Math. Bohem., 116, 20-59.

(1971). . Studia Sci. Math. Hunger., 6, 137-145.

(2002). . Math. Bohem., 127, 571-580.

(1983). .

10.

(1982). .

11.

12.

13.

(1955). . Math. Ann., 29, 415-416.

14.

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Article Contents

Vol.18 No.1

STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE

Abstract

Reference

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics