BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES

한국수학교육학회지시리즈B:순수및응용수학 / 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 (In-Ju Middle School)

Kim, Young Jin. (2017). BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES. 한국수학교육학회지시리즈B:순수및응용수학, 24(3), 155-169, https://doi.org/10.7468/jksmeb.2017.24.3.155

복사

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

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Vol.24 No.3

BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES

BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES

Abstract

한국수학교육학회지시리즈B:순수및응용수학