논문KCI 등재
STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES
한국수학교육학회|2014.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제21권 제1호|pp. 61-75
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초록
The purpose of this paper is to obtain some integral inequalities withimpulses by using the method of Stieltjes derivatives, and we use our results in thestudy of Lyapunov stability of solutions of a certain nonlinear impulsive integro-di®erential equation.
Abstract
The purpose of this paper is to obtain some integral inequalities withimpulses by using the method of Stieltjes derivatives, and we use our results in thestudy of Lyapunov stability of solutions of a certain nonlinear impulsive integro-di®erential equation.
참고문헌 (8)
- D. Fr·ankova, "Regulated functions", Math. Bohem, 116, pp.20~59 (1991)
- C.S. HÄonig, "Volterra Stieltjes-integral equations" (1973), North Holand and American Elsevier
- Yung Jin Kim, "STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE", 순수 및 응용수학, 18(1), pp.63~78 (2011), 한국수학교육학회
- P. Krejci, "A nonexistence result for the Kurzweil integral", Math. Bohem, 127, pp.571~580 (2002)
- B.G. Pachpatte, "Inequalities for differential and integral equations. Mathematics in Sci-ence and Engineering 197" (1998), Academic Press
- 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
관련 논문AI추천
STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPEYung Jin Kim한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONSYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제3호On stability of nonlinear integro-differential systems with impulsive effect강보원, 구남집, 이현희대한수학회 · 대한수학회논문집2020 · 제35권 제3호ASYMPTOTIC BEHAVIOR OF A CERTAIN SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATION김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제1호SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSESYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제4호
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