The oscillation/nonoscillation of nonlinear difference equations

Citation
Ms. Peng et al., The oscillation/nonoscillation of nonlinear difference equations, MATH COMP M, 31(6-7), 2000, pp. 227-235
Citations number
7
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
31
Issue
6-7
Year of publication
2000
Pages
227 - 235
Database
ISI
SICI code
0895-7177(200003/04)31:6-7<227:TOONDE>2.0.ZU;2-I
Abstract
In this paper, we establish new criteria for the oscillation/nonoscillation of solutions of the nonlinear difference equation of the form del (r(n) Phi (Delta y(n))) + q(n) Phi(y(n)) = R-n, where Phi :--> R is defined by Phi(s) = \s\(p-1)s, p > 0 a fixed real numbe r, and a Hille-Wintner type comparison theorem is established. (C) 2000 Els evier Science Ltd. All rights reserved.