On the Global Asymptotic Stability of a Second-Order System of Difference Equations
| Autor: | Ibrahim Yalcinkaya |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Discrete Dynamics in Nature and Society, Vol 2008 (2008) |
| Druh dokumentu: | article |
| ISSN: | 1026-0226 1607-887X |
| DOI: | 10.1155/2008/860152 |
| Popis: | A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations 𝑧𝑛+1=(𝑡𝑛𝑧𝑛−1+𝑎)/(𝑡𝑛+𝑧𝑛−1),𝑡𝑛+1=(𝑧𝑛𝑡𝑛−1+𝑎)/(𝑧𝑛+𝑡𝑛−1),𝑛=0,1,2,…, where the parameter 𝑎𝜖(0,∞) and the initial values (𝑧𝑘,𝑡𝑘)𝜖(0,∞) (for 𝑘=−1,0). |
| Databáze: | Directory of Open Access Journals |
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