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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.21 No.1

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STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES

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
2014, v.21 no.1, pp.61-75
https://doi.org/10.7468/jksmeb.2014.21.1.61
Kim, Young Jin
Kim,, Y. J. (2014). STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 21(1), 61-75, https://doi.org/10.7468/jksmeb.2014.21.1.61

Abstract

The purpose of this paper is to obtain some integral inequalities with impulses by using the method of Stieltjes derivatives, and we use our results in the study of Lyapunov stability of solutions of a certain nonlinear impulsive integro-differential equation.

keywords
integral inequalities with impulses, Stieltjes derivatives

Reference

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Kim, Yung-Jin;. (2011). STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE. J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math, 18(1), 63-78.

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P. Krejci & J. Kurzweil. (2002). A nonexistence result for the Kurzweil integral. Math. Bohem., 127, 571-580.

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S. Schwabik, M. Tvrdy & O. Vejvoda. Differntial and integral equations: boundary value problems and adjoints.

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

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