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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
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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

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