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ISSN : 1226-0657

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Vol.24 No.3

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BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING 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
2017, v.24 no.3, pp.155-169
https://doi.org/10.7468/jksmeb.2017.24.3.155
Kim, Young Jin
Kim,, Y. J. (2017). BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 24(3), 155-169, https://doi.org/10.7468/jksmeb.2017.24.3.155

Abstract

In this paper we obtain some integral inequalities involving impulses and apply our results to a certain integro-differential equation with impulses. First, we obtain a bound of the equation, and we use the bound to study some qualitative properties of the equation.

keywords
integral inequalities, Stieltjes derivatives, impulsive integro-differential equations, bounds, asymptotic behavior

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

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