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Consider the n-order neutral delay differential equationdndtn[y(t)+P(t)y(t−τ)]+Q(t)y(t−σ)=0where P,Q∈C[[t0,∞),ℝ] and the delays τ and σ are nonnegative real numbers. In this paper weexamined the oscillatory behavior of the solutions of the above equation using techniques whichallow the relaxation of the restrictions which has been introduced previously. We illustrate newtype of conditions which improve and extend known results, by relaxing hypotheses that P isconstant and Q is τ-periodic

international journal of mathematics and mathematical sciences

Oscillation criteria in neutral equations of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$n$"><mml:mi>n</mml:mi></mml:math>order with variable coefficients

Oscillation criteria in neutral equations ofnorder with variable coefficients