On the recursive sequence xn+1 = α+βxn/Bxn+Cxn-1
Document Type
Article
Date of Original Version
8-1-2001
Abstract
The global character of solutions of a recursive sequence were investigated. The parameters and initial conditions of the nonlinear, second order and rational difference equation were nonnegative and positive, respectively. The semicycles of solutions were described and global asymptotic stability of the equilibrium of the equation was proved.
Publication Title, e.g., Journal
Nonlinear Analysis, Theory, Methods and Applications
Volume
47
Issue
7
Citation/Publisher Attribution
Cunningham, K., M. R. Kulenović, G. Ladas, and S. V. Valicenti. "On the recursive sequence xn+1 = α+βxn/Bxn+Cxn-1." Nonlinear Analysis, Theory, Methods and Applications 47, 7 (2001): 4603-4614. doi: 10.1016/S0362-546X(01)00573-9.
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