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Positive decreasing solutions of quasi-linear difference equations

✍ Scribed by M Cecchi; Z Došlá; M Marini

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
548 KB
Volume
42
Category
Article
ISSN
0898-1221

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✦ Synopsis

The second-order nonlinear difference equation

where {an}, {bn} are positive real sequences for n _> 1, f : R ---* IR is continuous with uf(u) > 0 for u # 0, is considered. A full characterization of limit behavior of all positive decreasing solutions in terms of an, bn is established. The obtained results answer some open problems formulated for p = 2. A comparison with the continuous case jointly with similarities and discrepancies is given as well.

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