𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hartman–Wintner Type Lemma, Oscillation, and Conjugacy Criteria for Half-Linear Difference Equations

✍ Scribed by Pavel Řehák

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
108 KB
Volume
252
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

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 in this paper are based on the Riccati technique.

📜 SIMILAR VOLUMES

Interval oscillation criteria for second
Interval oscillation criteria for second order super-half linear functional differential equations with delay and advanced arguments
✍ A. Zafer 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 122 KB

## Abstract Sufficient conditions are established for oscillation of second order super half linear equations containing both delay and advanced arguments of the form equation image where __ϕ~δ~__ (__u__) = |__u__ |^__δ__ –1^__u__; __α__ > 0, __β__ ≥ __α__, and __γ__ ≥ __α__ are real numbers; __k