Generalized discrete Riccati equation and oscillation of half-linear difference equations
✍ Scribed by P. Řehák
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 500 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
Oscillation criteria for the second-order half-linear difference equation
to be oscillatory are obtained. These criteria are proved using the Riccati technique. (~) 2001 Elsevier Science Ltd. All rights reserved.
📜 SIMILAR VOLUMES
The authors consider second-order difference equations of the type A ((~~~)") + w&,, = 0, (E) where cz 10 is the ratio of odd positive integers, {qn} is a positive sequence, and {u(n)} is a positive increasing sequence of integers with o(n) -+ co as n + cc. They give some oscillation and comparison
We discuss oscillatory properties of the second order half-linear difference we establish the discrete half-linear extension of the Hartman᎐Wintner lemma and oscillatory and conjugacy criteria as an application of this lemma. The proofs of all these results and also of most of the other statements