Oscillatory behavior of a second order nonlinear advanced differential equation with mixed neutral terms

Abstract

In this paper, we present several new oscillation criteria for a second order nonlinear differential equation with mixed neutral terms of the form (r(t)(z (t)) α) + q(t)x β (σ (t)) = 0, t ≥ t 0 , where z(t) = x(t) + p 1 (t)x(τ (t)) + p 2 (t)x(λ(t)) and α, β are ratios of two positive odd integers. Our results improve and complement some well-known results which were published recently in the literature. Two examples are given to illustrate the efficiency of our results.