ON THE OSCILLATION OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATION WITH POSITIVE AND NEGATIVE COEFFICIENTS

ABSTRACT. This paper is focused on the following nonlinear neutral differential equation with positive and negative coefficients [x(t) −R(t)f (x(t − r))] + P (t)g (x(t − τ))−Q(t)g (x(t − σ)) = 0, where R(t), P (t), Q(t) ∈ C ([t0,∞),R +), r> 0, τ ≥ 0, σ ≥ 0. For this equation, oscillation criteria are established