On the asymptotic stability of xn+1=(a+xnxn-k)/(xn+xn-k)
We prove that the equilibrium solution of the rational difference equation where k is a nonnegative integer, a > =0, and x-k,...,x0 > 0, is globally asymptotically stable.
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2008-09, Vol.56 (5), p.1172-1175 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove that the equilibrium solution of the rational difference equation where k is a nonnegative integer, a > =0, and x-k,...,x0 > 0, is globally asymptotically stable. |
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| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2008.02.028 |