A Hille-Wintner type comparison theorem for second order difference equations

For the linear difference equation Δ(cn−1Δxn−1)+anxn=0   with   cn>0, a non-oscillation comparison theorem given in terms of the coefficients cn and the series ∑n=k∞an, has been proved.

Bibliographic Details
Main Author: John W. Hooker
Format: Article
Language:English
Published: Hindawi Limited 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000332