Hille-Wintner type comparison criteria for half-linear second order differential equations

Abstract

We establish Hille-Wintner type comparison criteria for the half-linear second order differential equation r(t)Φ(x′ ) + c(t)Φ(x) = 0, Φ(x) = |x|p−2 x , p > 1 , where this equation is viewed as a perturbation of another equation of the same form.