Generalized discrete Riccati equation and oscillation of half-linear difference equations

Authors
Rehak, P
Citation
P. Rehak, Generalized discrete Riccati equation and oscillation of half-linear difference equations, MATH COMP M, 34(3-4), 2001, pp. 257-269
Citations number
29
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
34
Issue
3-4
Year of publication
2001
Pages
257 - 269
Database
ISI
SICI code
0895-7177(200108)34:3-4<257:GDREAO>2.0.ZU;2-O
Abstract
Oscillation criteria for the second-order half-linear difference equation Delta (r(k)/Deltay(k)/(alpha -1) sgn Deltay(k)) + p(k)/y(k+1)/(alpha -1) sg n y(k+l) = 0, alpha >1, to be oscillatory are obtained. These criteria are proved using the Riccati technique. (C) 2001 Elsevier Science Ltd. All rights reserved.