Comparison theorems for the third-order delay trinomial differential equations (Q610908)

The objective of this paper is to study asymptotic properties of the third-order delay trinomial differential equation \[ y'''(t)+p(t)y'(t)+g(t)y(\tau(t))=0. \] 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.