STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Onyang Yonghwa Middle School)

Kim, Yung-Jin. (2011). STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE. 한국수학교육학회지시리즈B:순수및응용수학, 18(1), 63-78, https://doi.org/10.7468/jksmeb.2011.18.1.063

복사

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

참고문헌

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논문 상세

Vol.18 No.1

STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE

STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학