SOME NEW OSCILLATION CRITERIA FOR FOURTH-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAY

In this paper, we study the oscillation of fourth-order neutral differentiale quations with continuously distributed delay [ r (t) [ [z (t)]′′′ ]α]′ + ∫ d c q (t, ξ) f (x (g (t, ξ))) d (ξ) = 0 where z (t) = x (t) + ∫ b a p (t, σ)x (τ (t, σ)) dσ under a condition ∫ ∞ t◦ 1 r 1 α (t) dṫ = ∞. New oscillation criteria are obtained by employing a refinement of the generalized Riccati transformations. An illustrative example is given for illustrations.

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