Geodesic
On Euler type equation
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 16-19.

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In the present paper an Euler type equation is considered and it is proved that for $\alpha\in[0,1)\big(\alpha\in(2n-1,2n]\big)$ the characteristic polynomial has $2n$ real roots. For other values of $\alpha$ the issue concerning the number of the real roots of this polynomial is investigated.
Keywords: Hardy’s inequality, oscillation problems, characteristic polynomial.
Mots-clés : Euler type equation 
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S.A.Osipova; L. P. Tepoyan. On Euler type equation. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 16-19. http://geodesic.mathdoc.fr/item/UZERU_2009_1_a2/

[1] G.H. Hardy, J.E. Littlewood, G. Polya, Inequalities, Cambridge Univ. Press, Cambridge, 1964.

[2] L.P. Tepoyan, “On a Degenerate Differential-Operator Equation of Higher Order”, Izvestiya Natsionalnoi Akademii Nauk Armenii. Matematika, 38:5 (2003), 48–56 (in Russian) | MR

[3] O. Dosly, S. Fisnarova, “Oscillation and nonoscillation of solutions to even order self-adjoint differential equations”, Electronic Journal of Differential Equations, 115 (2003), 1–21 | MR