International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 2, Pages 387-393
doi:10.1155/S0161171283000332
A Hille-Wintner type comparison theorem for second order difference equations
Department of Mathematics, Southern Illinois University, Carbondale 62901, Illinois, USA
Received 2 October 1981
Copyright © 1983 John W. Hooker. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.