Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT

-
Anahtar Kelimeler:

-

Dynamics of a Nonlinear Rational Difference Equation ABSTRACT | FULL TEXT

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

___

  • 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.