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A trichotomy result for non-autonomous rational difference equations

✍ Scribed by Frank J. Palladino; Michael A. Radin


Book ID
111488754
Publisher
SP Versita
Year
2011
Tongue
English
Weight
266 KB
Volume
9
Category
Article
ISSN
1895-1074

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Asymptotic trichotomy for positive solut
✍ Wan Tong Li; Sui Sun Cheng πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 382 KB

A class of neutral type nonlinear difference equations is studied. We show that eventually positive solutions either converge to zero, to positive constants, or to positive infinity. Sufficient conditions are then provided for the existence of these solutions. Partial converses are also given.