Electronic Journal of Differential Equations,
Conference 03 (1999), pp. 29-37.

Title:  A remark on the half-linear extension of the Hartman-Wintner theorem

Author: Ondrej Dosly (Czech Academy of Sciences, Czech  Republic)
 
Abstract: 
We establish a Hartman-Wintner type theorem for the half-linear second order differential equation
$$ (r(t)\Phi_p(x'))'+c(t)\Phi_p(x)=0,\quad \Phi_p(x):=|x|^{p-2}x.$$
This equation is viewed as a perturbation of the non-oscillatory equation
$$ (r(t)\Phi_p(x'))'+\tilde c(t)\Phi_p(x)=0 $$
with $\tilde c(t)\ne 0$ eventually.

Published July 10, 2000.
Math Subject Classifications: 34C10.
Key Words: Half-linear equation; scalar p-Laplacian; Hartman-Wintner criterion.