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, α) x (τ (t, α)) dα under a condition ∫ ^∞ t_엯 1/ r ^1/α(t) dt = ∞. New oscillation criteria are obtained by employing a refinement of the generalized Riccati transformations. An illustrative example is given for illustrations. [ABSTRACT FROM AUTHOR]