On a k-Order System of Lyness-Type Difference Equations
| Autor: | G. Papaschinopoulos, C. J. Schinas, G. Stefanidou |
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| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Advances in Difference Equations, Vol 2007 (2007) |
| Druh dokumentu: | article |
| ISSN: | 1687-1839 1687-1847 |
| DOI: | 10.1155/2007/31272 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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