Principal solution of half-linear differential equation: Limit and integral characterization

Abstract

We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation $$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$. In particular, we supplement and extend the results of the previous papers.