Oscillation of a Nonlinear Difference Equation of Power TypeBakery AA*
Department of Mathematics, Faculty of Science and Arts, University of Jeddah, Saudi Arabia
- *Corresponding Author:
- Bakery AA
Department of Mathematics
Faculty of Science and Arts
P.O. Box 355, Khulais 21921
University of Jeddah (U j), Saudi Arabia
E-mail: [email protected]
Received: October 27, 2015; Accepted: November 09, 2015; Published: November 13, 2015
Citation: Bakery AA (2015) Oscillation of a Nonlinear Difference Equation of Power Type. J Appl Computat Math 4:270. doi:10.4172/2168-9679.1000270
Copyright: © 2015 Bakery AA. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
We give in this work the sufficient conditions on the positive solutions of the difference equation 8 1 1 n n n n x x x x α − + = + , n=0,1,…., where α ≥ 0 and s > 0 with arbitrary positive initials x-1; x0 to be bounded and the equilibrium point to be globally asymptotically stable. Finally we present the condition for which every positive solution converges to a prime two periodic solution. We have given a non-oscillatory positive solution which converges to the equilibrium point.