# Asymptotic properties of trinomial delay differential equations

## Jozef Džurina and Renáta Kotorová

Address: Department of Mathematics Faculty of Electrical Engineering and Informatics Technical University of Košice Letná 9, 042 00 Košice

E-mail:

jozef.dzurina@tuke.sk

renata.kotorova@tuke.sk

Abstract: The aim of this paper is to study asymptotic properties of the solutions of the third order delay differential equation
\[ \Big (\frac{1}{r(t)}\,y^{\prime }(t)\Big )^{\prime \prime }-p(t)\,y^{\prime }(t)+g(t)\,y\big (\tau (t)\big )= 0\,.\ast \]
Using suitable comparison theorem we study properties of Eq. () with help of the oscillation of the second order differential equation.

AMSclassification: Primary: 34C10; Secondary: 34K11.

Keywords: oscillation, property(A), delay argument