On Oscillation and Nonoscillation of a Second Order Half-Linear Equation

Abstract

Abstract New oscillation and nonoscillation criteria are established for the equation u″ + p ( t )| u | α | u′ | 1– α sgn u = 0, where α ∈]0, 1] and the function p :]0, +∞[→] – ∞, +∞[ is locally integrable.