On the Oscillation of Certain Second Order Differential Equations

Abstract Some new criteria for the oscillation of all solutions of second order equations of the form (a(t)|y′(t)| σ–1 y′(t))′ + q(t)|y(t)| σ sgn y(t) = 0, σ > 1, are established. The obtained results extend, unify and corollate many of the known oscillation criteria for second order equations.