1. On a k-Order System of Lyness-Type Difference Equations.
- Author
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Papaschinopoulos, G., Schinas, C. J., and Stefanidou, G.
- Subjects
- *
DIFFERENCE equations , *MATHEMATICAL constants , *REAL numbers , *INVARIANTS (Mathematics) , *MATHEMATICS - Abstract
We consider the following system of Lyness-type difference equations: x1(n + 1) = (akxk(n) + bk)/ xk-1(n - 1), x2(n + 1) = (a1x1(n) + b1)/xk(n - 1), xi(n + 1) = (ai-1xi-1(n) + bi-1)/xi-2(n-1), i = 3, 4,...,k, where ai, bi, i = 1, 2,...,k, are positive constants, k ≥ 3 is an integer, and the initial values are positive real numbers. We study the existence of invariants, the boundedness, the persistence, and the periodicity of the positive solutions of this system. [ABSTRACT FROM AUTHOR]
- Published
- 2007
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