Oscillation of a Nonlinear Difference Equation of Power Type

Journal of Applied & Computational Mathematics

article

Bakery AA¹ 

[1] Department of Mathematics, Faculty of Science and Arts, University of Jeddah

关键词: Difference equation;    Boundedness;    Global asymptotic stability;    Oscillation;    Period two solution;   

DOI  :  10.4172/2168-9679.1000270

来源: Hilaris Publisher

【 摘 要 】

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.

【 授权许可】

Unknown