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ASYMPTOTIC BEHAVIOR OF A CERTAIN SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATION

김영진
한국수학교육학회|2017.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제24권 제1호|pp. 1-19|DOI https://doi.org/10.7468/jksmeb.2017.24.1.1

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참고문헌

키워드

Stieltjes derivativesintegral inequalitiessecond-order integro-di®erential equationsasymptotic behaviors.
주제분류수학

초록

In this paper we obtain some integral inequalities by using Stieltjes derivatives, and we apply our results to the study of asymptotic behavior of a certain second-order integro-di®erential equation.

Abstract

In this paper we obtain some integral inequalities by using Stieltjes derivatives, and we apply our results to the study of asymptotic behavior of a certain second-order integro-di®erential equation.

참고문헌 (11)

  1. C.S. Honig, "Volterra Stieltjes-integral equations" (1973), North-Holand and American Elsevier
  2. Yung Jin Kim, "STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE", 순수 및 응용수학, 18(1), pp.63~78 (2011), 한국수학교육학회
  3. 김영진, "STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES", 순수 및 응용수학, 21(1), pp.61~75 (2014), 한국수학교육학회
  4. Young Jin Kim, "SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS", 순수 및 응용수학, 23(2), pp.181~199 (2016), 한국수학교육학회
  5. O. Lipovan, "On the asymptotic behavior of the solutions to a class of second order nonlinear differential equations", Glasg. Math. J, 45(1), pp.179~187 (2003)
  6. B.G. Pachpatte, "Inequalities for differential and integral equations" (1998), Academic Press, Inc
  7. B.G. Pachpatte, "Integral and finite difference inequalities and applications" (2006), North-Holand and American Elsevier
  8. S.P. Rogovchenko, "Asymptotic behavior of solutions to second-order nonlinear differential equations", Port. Math, 57(1), pp.17~33 (2000)
  9. S. Schwabik, "Generalized ordinary differential equations" (1992), World Scientific
  10. S. Schwabik, "Differential and integral equations: boundary value problems and adjoints" (1979), Academia and D. Reidel
  11. M. Tvrdy, "Regulated functions and the Perron-Stieltjes integral", Casopis pest. mat, 114(2), pp.187~209 (1989)

관련 논문AI추천

SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONSYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호Asymptotic Behavior of Solutions of Certain Nonlinear Differential and Integro-differential EquationsSaid R. Grace, Sandra Pinelas장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제3호STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPEYung Jin Kim한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 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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