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Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT

Year 2013, Volume: 42 Issue: 1, 9 - 14, 01.01.2013

Abstract

In this paper, we investigate the dynamical properties of the followingnonlinear difference equation:x n+1 = n x n−2 x n−3 + x n x n−2 x a n−3 + 1 x a n x n−3 + x n x a n−3 + 1

References

  • Agarwal R.P. Difference Equations and Inequalities, Marcel Dekker, Newyork, NY, USA, 1st Edition, 1992.
  • Agarwal R.P. Difference Equations and Inequalities, Marcel Dekker, Newyork, NY, USA, 2nd Edition, 2000.
  • Bayram, M. and Das, S. E.Global Asymptotic Stability of a Nonlinear Recursive Sequence, Int. Math. For., 5(22), 1083-1089, 2010.
  • Berenhaut, K.S., Foley, J.D. and Stevic, S. The Global Attractivity of the Rational Difference Equation, Appl. Math. Lett., 20, 54-58, 2007. Chen, Y. and Li, X. Dynamical Properties in a Fourth-order Nonlinear Difference Equation, Adv. Diff. Equ., ID.679409, 9 pages, 2010.
  • Das, S. E. Qualitative Behavior of a Fourth-order Rational Difference Equation, in review, 20 Das, S. E. Global Asymptotic Stability for a Fourth-order Rational Difference Equation, Int. Math. For., 5(32), 1591-1596, 2010.
  • Kocic, V. L. and Ladas, G. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Vol. 256 of Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993. Li, X. and Zhu, D. Global asymptotic stability of a nonlinear recursive sequence, Compt.Math.Appl., 17, 833- 838, 2004.
  • Li, X. Qualitative properties for a fourth-order rational difference equation, J.Math.Anal.Appl., 311, 103 - 111, 2005.

Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT

Year 2013, Volume: 42 Issue: 1, 9 - 14, 01.01.2013

Abstract

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References

  • Agarwal R.P. Difference Equations and Inequalities, Marcel Dekker, Newyork, NY, USA, 1st Edition, 1992.
  • Agarwal R.P. Difference Equations and Inequalities, Marcel Dekker, Newyork, NY, USA, 2nd Edition, 2000.
  • Bayram, M. and Das, S. E.Global Asymptotic Stability of a Nonlinear Recursive Sequence, Int. Math. For., 5(22), 1083-1089, 2010.
  • Berenhaut, K.S., Foley, J.D. and Stevic, S. The Global Attractivity of the Rational Difference Equation, Appl. Math. Lett., 20, 54-58, 2007. Chen, Y. and Li, X. Dynamical Properties in a Fourth-order Nonlinear Difference Equation, Adv. Diff. Equ., ID.679409, 9 pages, 2010.
  • Das, S. E. Qualitative Behavior of a Fourth-order Rational Difference Equation, in review, 20 Das, S. E. Global Asymptotic Stability for a Fourth-order Rational Difference Equation, Int. Math. For., 5(32), 1591-1596, 2010.
  • Kocic, V. L. and Ladas, G. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Vol. 256 of Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993. Li, X. and Zhu, D. Global asymptotic stability of a nonlinear recursive sequence, Compt.Math.Appl., 17, 833- 838, 2004.
  • Li, X. Qualitative properties for a fourth-order rational difference equation, J.Math.Anal.Appl., 311, 103 - 111, 2005.
There are 7 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

S. Ebru Daş This is me

Publication Date January 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 1

Cite

APA Daş, S. E. (2013). Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 42(1), 9-14.
AMA Daş SE. Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. January 2013;42(1):9-14.
Chicago Daş, S. Ebru. “Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 42, no. 1 (January 2013): 9-14.
EndNote Daş SE (January 1, 2013) Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics 42 1 9–14.
IEEE S. E. Daş, “Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 1, pp. 9–14, 2013.
ISNAD Daş, S. Ebru. “Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 42/1 (January 2013), 9-14.
JAMA Daş SE. Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2013;42:9–14.
MLA Daş, S. Ebru. “Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 1, 2013, pp. 9-14.
Vancouver Daş SE. Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2013;42(1):9-14.