논문KCI 등재
Dynamics of Recursive Sequence of Order Two
1
조회
0
다운로드
2
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we study some qualitative behavior of the solutions of the difference equation xn+1 = axn + bxn/(cxn − dx(n-1)), n = 0, 1, ...,where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants with cx0 − dx-1 ≠ 0.
Abstract
In this paper we study some qualitative behavior of the solutions of the difference equation xn+1 = axn + bxn/(cxn − dx(n-1)), n = 0, 1, ...,where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants with cx0 − dx-1 ≠ 0.
참고문헌 (41)
- M. Aloqeili, "Dynamics of a rational difference equation", Appl. Math. Comp., 176(2), pp.768~774 (2006)
- C. Cinar, "On the positive solutions of the difference equation xn+1 = xn-1", 1+xnxn-1, 2004, pp.150, 21~24
- C. Cinar, "On the positive solutions of the difference equation xn+1 = axn-1", 1+bxnxn-1, 2004, pp.156, 587~590
- C. Cinar, "On the difference equation xn+1 = xn-1", -1+xnxn-1, 2004, pp.158, 813~816
- E. M. Elabbasy, "Global attractivity and periodic character of a fractional difference equation of order three", Yokohama Math. J., 53, pp.89~100 (2007)
- E. M. Elabbasy, "On the difference equation xn+1 = αxn-k", β+γ∏ki=0 xn-i, 2007, pp.5(2), 101~113
- E. M. Elabbasy, "Qualitative behavior of higher order difference equation", Soochow Journal of Mathematics, 33(4), pp.861~873 (2007)
- E. M. Elabbasy, "On the difference equation xn+1 = a0xn + a1xn-1 + ... + akxn-k", b0xn + b1xn-1 + ... + bkxn-k, 2008, pp.133(2), 133~147
- E. M. Elabbasy, "On the global attractivity of difference equation of higher order", Carpathian Journal of Mathematics, 24(2), pp.45~53 (2008)
- E. M. Elabbasy, "On the solutions of a class of difference equations of higher order", International Journal of Mathematics and Statistics, 6(A09), pp.57~68 (2010)
- E. M. Elabbasy, "Dynamics of a rational difference equation", Chinese Annals of Mathematics, Series B, 30(2), pp.187~198 (2009)
- H. El-Metwally, "A global convergence result with applications to periodic solutions", J. Math. Anal. Appl., 245, pp.161~170 (2000)
- H. El-Metwally, "On the global attractivity and the periodic character of some difference equations", J. Differ. Equations Appl., 7, pp.1~14 (2001)
- H. El-Metwally, "Global behavior of an economic model", Chaos, Solitons and Fractals, 33, pp.994~1005 (2007)
- H. El-Metwally, "On the behavior of some extension forms of some population models", Chaos, Solitons and Fractals, 36, pp.104~114 (2008)
- E. M. Elsayed, "On the solution of recursive sequence of order two", Fasciculi Mathematici, 40, pp.5~13 (2008)
- E. M. Elsayed, "Dynamics of a recursive sequence of higher order", Communications on Applied Nonlinear Analysis, 16(2), pp.37~50 (2009)
- E. M. Elsayed, "On the Difference Equation xn+1 = xn-5", −1+xn-2xn-5, 2008, pp.3(33), 1657~1664
- E. M. Elsayed, "Qualitative behavior of difference equation of order three", Acta Scientiarum Mathematicarum (Szeged), 75(1), pp.113~129
- E. M. Elsayed, "Qualitative behavior of s rational recursive sequence", Indagationes Mathematicae, New Series, 19(2), pp.189~201 (2008)
- E. M. Elsayed, "On the Global attractivity and the solution of recursive sequence", Studia Scientiarum Mathematicarum Hungarica, 47(3), pp.401~418 (2010)
- E. M. Elsayed, "Qualitative properties for a fourth order rational difference equation", Acta Applicandae Mathematicae, 110(2), pp.589~604 (2010)
- E. M. Elsayed, "Qualitative behavior of difference equation of order two", Mathematical and Computer Modelling, 50, pp.1130~1141 (2009)
- E. A. Grove, "Periodicities in Nonlinear Difference Equations", pp.2005, Chapman & Hall
- A. E. Hamza, "Attractivity of the recursive sequence xn+1 = (α − βxn)F(xn-1,...,xn-k)", Mathematical and Computer Modelling, 48(11), pp.1744~1749 (2008)
- T. F. Ibrahim, "On the third order rational difference equation xn+1 = xnxn-2", xn-1(a + bxnxn-2), 2009, pp.4(27), 1321~1334
- V. L. Kocic, "Global Behavior of Nonlinear Difference Equations of Higher Order with Applications" (1993), Kluwer Academic Publishers
- M. R. S. Kulenovic, "Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures", pp.2001, Chapman & Hall
- A. Rafiq, "Convergence of an iterative scheme due to Agarwal et al", Rostock. Math. Kolloq., 61, pp.95~105 (2006)
- M. Saleh, "Dynamics of a higher order rational difference equation", Appl. Math. Comp., 181, pp.84~102 (2006)
- M. Saleh, "On the difference equation xn+1 = A+ xn", xn-k, 2005, pp.171, 862~869
- D. Simsek, "On the recursive sequence xn+1 = xn-3", 1+xn-1, 2006, pp.1(10), 475~480
- C. Wang, "Global asymptotic stability of 3-species mutualism models with diffusion and delay effects", Discrete Dynamics in Natural and Science, 2009, pp.20~
- C. Wang, "Asymptotic behavior of equilibrium point for a class of nonlinear difference equation", Advances in Difference Equations, 2009, pp.8~
- I. Yalçınkaya, "On the solutions of systems of difference equations", Advances in Difference Equations, 2008, pp.9~
- I. Yalçınkaya, "On the global asymptotic stability of a second-order system of difference equations", Discrete Dynamics in Nature and Society, 2008, pp.12~
- I. Yalçınkaya, "On the solutions of systems of difference equations", Advances in Difference Equations, 2008, pp.9~
- I. Yalçınkaya, "On the global asymptotic stability of a second-order system of difference equations", Discrete Dynamics in Nature and Society, 2008, pp.12~
- I. Yalçınkaya, "On the difference equation xn+1 = α + xn-m", xkn, pp.2008, 8~
- E. M. E. Zayed, "On the rational recursive sequence xn+1 = α + βxn + γxn-1", A + Bxn + Cxn-1, 2005, pp.12(4), 15~28
- E. M. E. Zayed, "On the rational recursive sequence xn+1 = αxn+βxn-1+γxn-2+δxn-3", Axn+Bxn-1+Cxn-2+Dxn-3, 2005, pp.12, 15~28
관련 논문AI추천
The Dynamics and Global Attractivity of a Rational Difference EquationAbdul Khaliq, E. M. Elsayed장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호On the Solution of Fourth-Order Rational Recursive SequenceE. M. Elsayed, R.P. Agarwal장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호Periodicity and stability of solutions of higher order rational difference equationE. M. Elsayed, R. P. Agarwal장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호Behavior of Solutions of a Fourth Order Difference EquationRaafat Abo-Zeid경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호The 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 제1호On global behavior of a system of nonlinear dierence equations of order twoD. T. Tollu, N. Taskara, Y. Yazlik장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호
이 간행물의 다른 논문 (9건)
On a Structure Defined by a Tensor Field F of Type (1, 1) Satisfying Πj=1k [F2 + a(j)F + λ2(j)I] = 0Abhishek Singh, Lovejoy Das, Ram Nivaspp. 455-463Extreme Preservers of Zero-term Rank Sum over Fuzzy MatricesYeon-Jung Na, 송석준pp. 465-472On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative OperatorSunil Dutt Purohitpp. 473-482Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional DerivativeShahram Najafzadeh, Rasoul Aghalary, Ali Ebadianpp. 499-507On Curvature-Adapted and Proper Complex Equifocal Sub- manifoldsNaoyuki Koikepp. 509-536
