374
Views
51
CrossRef citations to date
0
Altmetric
Original Articles

Global behaviour of a second-order nonlinear difference equation

&
Pages 1471-1486 | Received 05 Nov 2009, Accepted 15 Jan 2010, Published online: 22 Feb 2011

References

  • Agarwal , R.P. 2000 . Difference Equations and Inequalities. Theory, Methods, and Applications , 2nd ed. , Monographs and Textbooks in Pure and Applied Mathematics Vol. 228 , New York : Marcel Dekker, Inc. .
  • Aloqeili , M. 2006 . Dynamics of a rational difference equation . Appl. Math. Comput , 176 : 768 – 774 .
  • Amleh , A.M. , Camouzis , E. and Ladas , G. 2008 . On the dynamics of a rational difference equation, Part I . Int. J. Difference Equ. , 3 : 1 – 35 .
  • Amleh , A.M. , Camouzis , E. and Ladas , G. 2008 . On the dynamics of a rational difference equation, Part II . Int. J. Difference Equ. , 3 : 195 – 225 .
  • Andruch-Sobilo , A. and Migda , M. 2006 . Further properties of the rational recursive sequence . Opuscula Math. , 26 : 387 – 394 .
  • A. Andruch-Sobilo and M. Migda, On the rational recursive sequence , Tatra Mt. Math. Publ. 43 (2009), pp. 1–9
  • Cima , A. , Gasull , A. and Mañosa , V. 2006 . Dynamics of some rational discrete dynamical systems via invariants . Internat. J. Bifur. Chaos Appl. Sci. Engrg. , 16 : 631 – 645 .
  • Çinar , C. 2004 . On the solutions of the difference equation . Appl. Math. Comput. , 158 : 793 – 797 .
  • Cull , P. , Flahive , M. and Robson , R. 2005 . Difference Equations. From Rabbits to Chaos , New York : Springer .
  • Elaydi , S. 2005 . An Introduction to Difference Equations , 3rd ed. , New York : Springer .
  • Kulenović , M.R.S. and Ladas , G. 2002 . Dynamics of Second Order Rational Difference Equations , Boca Raton, FL : Chapman & Hall/CRC .
  • Sedaghat , H. 2003 . Nonlinear difference equations. Theory with applications to social science models , Mathematical Modelling: Theory and Applications Vol. 15 , Dordrecht : Kluwer Academic Publishers .
  • Sedaghat , H. 2009 . Global behaviours of rational difference equations of orders two and three with quadratic terms . J. Difference Equ. Appl. , 15 : 215 – 224 .
  • Stević , S. 2004 . More on a rational recurrence relation . Appl. Math. E-Notes , 4 : 80 – 85 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.