1. On the Recursive Sequence xn+1 = A + (xpn-1/xqn).
- Author
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Schinas, C. J., Papaschinopoulos, G., and Stefanidou, G.
- Subjects
- *
RECURSIVE sequences (Mathematics) , *NUMERICAL solutions to nonlinear difference equations , *DIFFERENCE equations , *MATHEMATICAL sequences , *EQUATIONS - Abstract
In this paper we study the boundedness, the persistence, the attractivity and the stability of the positive solutions of the nonlinear difference equation xn+1 = α + (xn-1p / xnq), n = 0,1,..., where α, p, q ∈(0, ∞) and x-1, x0 ∈ (0, ∞). Moreover we investigate the existence of a prime two periodic solution of the above equation and we find solutions which converge to this periodic solution. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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