๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Oscillation and comparison theorems for half-linear second-order difference equations

โœ Scribed by E. Thandapani; K. Ravi; J.R. Graef

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

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 results for equation (E).

๐Ÿ“œ SIMILAR VOLUMES

New comparison and oscillation theorems
New comparison and oscillation theorems for second-order half-linear dynamic equations on time scales
โœ Baoguo Jia; Lynn Erbe; Allan Peterson ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 338 KB

a b s t r a c t Let T be a time scale (i.e., a closed nonempty subset of R) with sup T = +โˆž. Consider the second-order half-linear dynamic equation where r(t) > 0, p(t) are continuous, In particular, no explicit sign assumptions are made with respect to the coefficient p(t). We give conditions und

Oscillation theorems for second-order no
Oscillation theorems for second-order nonlinear difference equations
โœ Wan-Tong Li ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 516 KB

In this paper, discrete inequalities are used to offer sufficient conditions for oscillation of all solutions of second-order nonlinear difference equations with alternating coefficients. @ 2000 Elsevier Science Ltd. All rights reserved.