140
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

On the global attractivity and oscillations in a class of second-order difference equations from macroeconomics

Pages 1643-1650 | Received 12 Nov 2009, Accepted 16 Feb 2010, Published online: 22 Feb 2011

References

  • Chen , S. and Erbe , Lynn H. 1989 . Riccati techniques and discrete oscillations . J. Math. Anal. Appl. , 142 : 468 – 487 .
  • El-Morshedy , H.A. and El-Matary , B.M. 2008 . Oscillation and global asymptotic stability of a neuronic equation with two delays . Electron. J. Qual. Theory Differ. Equ. , 2008 : 1 – 21 .
  • El-Morshedy , H.A. and Gopalsamy , K. 2001 . On the oscillation and asymptotic behaviour of solutions of a neuronic equation . Funkcial. Ekvac. , 44 : 83 – 98 .
  • Gopalsamy , K. and Leung , I.K.C. 1997 . Convergence under dynamical thresholds with delays . IEEE Trans. Neural Netw. , 8 : 341 – 348 .
  • Györi , I. and Hartung , F. 2003 . Stability of a single neuron model with delay . J. Comput. Appl. Math. , 157 : 73 – 92 .
  • Hamaya , Y. 2007 . “ On the asymptotic behaviour of solutions of neuronic difference equations ” . In Proceedings of Internatational Conference on Difference Equations, Special Functions and applications , Edited by: Elaydi , S. , Cushing , J. , Lasser , R. , Papageorgiou , V. , Ruffing , A. and Van Assche , W. 258 – 265 . Singapore : World Scientific . Munich, Germany, 25–30 July 2005
  • Hicks , J.R. 1965 . A contribution to the theory of the trade cycle , 2nd ed. , Oxford : Clarendon Press .
  • Kent , C.M. and Sedaghat , H. 2004 . Global stability and boundedness in . J. Differ. Equ. Appl. , 10 : 1215 – 1227 .
  • Li , S. and Zhang , W. 2008 . Bifurcation in a second-order difference equation from macroeconomics . J. Differ. Equ. Appl. , 14 : 91 – 104 .
  • Puu , T. 1993 . Nonlinear Economic Dynamics , 3rd ed. , New York : Springer .
  • Samuelson , H.A. 1939 . Interaction between the multiplier analysis and the principle of acceleration . Rev. Econ. Stat. , 21 : 75 – 78 .
  • Sedaghat , H. 1997 . A class of nonlinear second order difference equations from macroeconomics . Nonlin. Anal. , 29 : 593 – 603 .
  • Sedaghat , H. 2002 . Regarding the equation . J. Differ. Equ. Appl. , 8 : 667 – 671 .
  • Sedaghat , H. 2005 . Global attractivity, oscillation and chaos in a class of nonlinear second order difference equations . Cubo , 7 : 89 – 110 .

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.