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A global behavior of the positive solutions of [수식]

박종안
대한수학회 (The Korean Mathematical Society)|2008.01|대한수학회논문집 (Communications of the KMS)|제23권 제1호|pp. 61-65

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참고문헌

키워드

difference equationsequilibrium point.
주제분류수학

초록

In this paper we prove that every positive solution of the third order rational difference equation [수식] converges to the positive equilibrium point [수식] where 0 < β ≤ B, 1 < A < β + 1.

Abstract

In this paper we prove that every positive solution of the third order rational difference equation [수식] converges to the positive equilibrium point [수식] where 0 < β ≤ B, 1 < A < β + 1.

참고문헌 (3)

  1. E. Camouzis, "Global analysis of solutions of xn+1 = ¯xn+±xn¡2 A+Bxn+Cxn¡1", J. Math. Anal. Appl, 316, pp.616~627 (2006)
  2. M. R. S. Kulenovic, "Dynamics of Second Order Rational Difference Equation, with Open Problems and Conjectures", pp.2002, Chapman and Hall
  3. R. D. Nussbaum, "Global stability, two conjectures and maple", Nonlinear Anal, 66 (2007)

관련 논문AI추천

The Dynamics and Global Attractivity of a Rational Difference EquationAbdul Khaliq, E. M. Elsayed장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호Dynamical Behavior of a Third-Order Difference Equation with Arbitrary PowersMehmet Gumus, Ozkan Ocalan, Raafat Abo-Zeid경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제2호RATIONAL DIFFERENCE EQUATIONS WITH POSITIVE EQUILIBRIUM POINTArtūras Dubickas대한수학회 · 대한수학회보2010 · 제47권 제3호Global behavior of a second-order system of difference equationsDURHASAN TURGUT TOLLU, IBRAHIM YALCINKAYA장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호The Dynamics of Solutions to the Equation xn+1=p+xn-k/q+xn+xn-k/xnXiaona Xu, Yongjin Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호Behavior of Solutions of a Fourth Order Difference EquationRaafat Abo-Zeid경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호

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