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SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

Young Jin Kim
한국수학교육학회|2016.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제2호|pp. 181-199

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참고문헌

키워드

Stieltjes derivativesretarded integral inequalitiesretarded impulsive differential equations.
주제분류수학

초록

In this paper we obtain some retarded integral inequalities involving Stieltjes derivatives and we use our results in the study of various qualitative prop- erties of a certain retarded impulsive differential equation.

Abstract

In this paper we obtain some retarded integral inequalities involving Stieltjes derivatives and we use our results in the study of various qualitative prop- erties of a certain retarded impulsive differential equation.

참고문헌 (12)

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  3. Yung Jin Kim, "STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE", 순수 및 응용수학, 18(1), pp.63~78 (2011), 한국수학교육학회
  4. 김영진, "STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES", 순수 및 응용수학, 21(1), pp.61~75 (2014), 한국수학교육학회
  5. B. G. Pachpatte, "Mathematics in Science and Engineering 197" (1998), Academic Press
  6. B. G. Pachpatte, "Mathematics Studies 205" (2006), North-Holand and American Elsevier
  7. W. Rudin, "Functional analysis" (1973), McGraw-Hill
  8. A.M. Samoilenko, "Impulsive di®erential equations" (1995), World Scientic
  9. H. Schaefer, "ÄUber die methode der a priori-Schranken", Math. Ann, 29, pp.415~416 (1955)
  10. S. Schwabik, "Generalized ordinary di®erential equations" (1992), World Scientic
  11. S. Schwabik, "Di®erntial and integral equations: boundary value problems and adjoints" (1979), Academia and D. Reidel
  12. M. Tvrdy, "Regulated functions and the Perron-Stieltjes integral", Casopis pest. mat, 114(2), pp.187~209 (1989)

관련 논문AI추천

STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSESYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제4호New integral inequalities for nonlinear functions and their applicationsTae-In Kwon, Young-Ho Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제1호BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제3호ASYMPTOTIC BEHAVIOR OF A CERTAIN SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATION김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제1호STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPEYung Jin Kim한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호

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