B. Baculíková,J. Džurina, Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia, e-mail:blanka.baculikova@tuke.sk,jozef.dzurina@tuke.sk

**Abstract:** In the paper we offer criteria for oscillation of the third order Euler differential equation with delay

y"'(t)+\frac{k^2}{t^3}y(ct)=0.

We provide detail analysis of the properties of this equation, we fill the gap in the oscillation theory and provide necessary and sufficient conditions for oscillation of equation considered.

**Keywords:** third-order functional differential equation; Euler equation; oscillation; nonoscillation

**Classification (MSC 2010):** 34K11, 34C10

**Full text** available as PDF.

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