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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

John W. Hooker

Department of Mathematics, Southern Illinois University, Carbondale 62901, Illinois, USA

Received 2 October 1981

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.