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The objective of this paper is to study the asymptotic properties of third-order delay trinomial differential equation y t p t y t g t y τ t 0. Employing new comparison theorems, we can deduce the oscillatory and asymptotic behavior of the above-mentioned equation from the oscillation of a couple of the first-order differential equations. Obtained comparison principles essentially simplify the examination of the studied equations.doi:10.1155/2010/160761 fatcat:l4bvbdlxjvdj3cziidzd34rb3y