WEIGHTED HARDY INEQUALITIES AND THEIR APPLICATIONS TO OSCILLATION THEORY OF HALF–LINEAR DIFFERENTIAL EQUATIONS

Abstract

For the equation 􀀀 (t)|y0(t)|p−2y0(t) 0 + v(t)|y(t)|p−2y(t) = 0, t 2 (a, b) where 1 < p < 1, we establish the properties of oscillation and nonoscillation.