논문KCI 등재
BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES
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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.
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.
참고문헌 (9)
- Yung Jin Kim, "STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE", 순수 및 응용수학, 18(1), pp.63~78 (2011), 한국수학교육학회
- 김영진, "STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES", 순수 및 응용수학, 21(1), pp.61~75 (2014), 한국수학교육학회
- Young Jin Kim, "SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS", 순수 및 응용수학, 23(2), pp.181~199 (2016), 한국수학교육학회
- B.G. Pachpatte, "Inequalities for differential and integral equations" (1998), Academic Press, Inc
- B.G. Pachpatte, "Integral and finite difference inequalities and applications" (2006), North-Holand and American Elsevier
- A.M. Samoilenko, "Impulsive differential equations" (1995), World Scientific
- S. Schwabik, "Generalized ordinary differential equations" (1992), World Scientific
- S. Schwabik, "Differntial and integral equations: boundary value problems and adjoints" (1979), Academia and D. Reidel
- M. Tvrdy, "Regulated functions and the Perron-Stieltjes integral", Casopis pest. mat, 114(2), pp.187~209 (1989)
관련 논문AI추천
SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSESYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제4호On stability of nonlinear integro-differential systems with impulsive effect강보원, 구남집, 이현희대한수학회 · 대한수학회논문집2020 · 제35권 제3호SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONSYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호ASYMPTOTIC BEHAVIOR OF A CERTAIN SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATION김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제1호New integral inequalities for nonlinear functions and their applicationsTae-In Kwon, Young-Ho Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제1호
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