𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Unbounded solutions of quasi-linear difference equations

✍ Scribed by M. Cecchi; Z. Došlá; M. Marini

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
589 KB
Volume
45
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

we study positive increasing solutions of the nonlinear difference equation A(an@p(A4) = bnf(2n+l)r @p(u) = I@-34, p > 1, where {a,}, {bn} are positive real sequences for n 2 1, f : lR --t lR is continuous with uf(u) > 0 for u # 0. A full characterization of limit behavior of all these solutions in terms of a,,, b, is established. Examples, showing the essential role of used hypotheses, are also included. The tools used are the Schauder fixed-point theorem and a comparison method based on the reciprocity principle. @ 2003 Elsevier Science Ltd. All rights reserved.

📜 SIMILAR VOLUMES

Positive decreasing solutions of quasi-l
Positive decreasing solutions of quasi-linear difference equations
✍ M Cecchi; Z Došlá; M Marini 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 548 KB

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 obtain

Nonexistence of Unbounded Nonoscillatory
Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations
✍ Patricia J.Y. Wong; Ravi P. Agarwal 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 238 KB

We develop criteria for the nonexistence of eventually positive negative and Ž . nondecreasing nonincreasing solutions of the partial difference equation ٌ ٌ y m, n q P m, n, y m q k, n q l s Q m, n, y m q k, n q l