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NEW OSCILLATION CRITERIA FOR GENERAL NEUTRAL DELAY THIRD ORDER DIFFERENTIAL EQUATIONS

International Journal of Mathematics and Computer Applications Research (IJMCAR) • 2013
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Publication Information
Authors M. M. A. EL-SHEIKH, R. SALLAM, N. MOHAMADY
Keywords Third Order, Neutral Differential Equation, Oscillation Criteria
Journal International Journal of Mathematics and Computer Applications Research (IJMCAR)
Publisher Trans Stellar
Volume 3
Issue 2
Pages 183 - 190
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
The aim of this paper is to study the oscillatory behavior of solutions of general third order neutral delay
differential equations using a generalized Riccati transformation. We establish new sufficient conditions for oscillations of
solutions. Illustrative examples are given to support our main results. The obtained results extend and improve some
known criteria in the literature. There has been considerable interest in studying the oscillation of solutions of neutral delay differential equations
in the last two decades. Although the oscillation of third-order equations has received less attentions relatively comparing
with those of second-order, however there is an increasing interest in studying the oscillation of neutral delay third-order
equations (see [2 ], [4 ], [ 6], [ 8] )