A Hille-Wintner type comparison theorem for second order difference equations
John W. Hooker1
Received02 Oct 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.