In this paper, we investigate the asymptotic behavior and periodic nature of positive solutions of the difference equation where A β₯ 0 and 0 β€ Ξ± β€ 1. We prove that every positive solution of this difference equation approaches x = 1 or is eventually periodic with a period 2, 3 or 4.
Asymptotic behavior and periodic nature of two difference equations
β Scribed by R. Khalaf-Allah
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 74 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0041-5995
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