Oscillation and asymptotic behaviour of a higher order neutral differential equation with positive and negative coefficients.

Karpuz, Basak; Padhy, Laxmi Narayan; Rath, Radhanath

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In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form ${(r_{2} (t) {(r_{1} (t) x^{'})}^{'})}^{'} + p (t) x^{'} + q (t) f (x (g (t))) = 0 .$ We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.