Geodesic
On a conjecture about an integral criterion for oscillation
Archivum mathematicum, Tome 34 (1998) no. 3, pp. 393-399
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We discuss an open question of Kiguradze and Chanturia about Property $A$ and Property $B$ for the equation $ y^{(n)} + py = 0 $. The proposed integral criterion is proved in a few cases.
We discuss an open question of Kiguradze and Chanturia about Property $A$ and Property $B$ for the equation $ y^{(n)} + py = 0 $. The proposed integral criterion is proved in a few cases.
Classification : 34C10
Keywords: oscillation; Property A; Property B 
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     title = {On a conjecture about an integral criterion for oscillation},
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Elias, Uri; Škerlík, Anton. On a conjecture about an integral criterion for oscillation. Archivum mathematicum, Tome 34 (1998) no. 3, pp. 393-399. http://geodesic.mathdoc.fr/item/ARM_1998_34_3_a7/

[K] Kiguradze, I. T. and Chanturia, T. A.: Asymptotic properties of solutions of nonautonomous ordinary differential equations. Kluwer Publishers, Dordrecht, 1993. | MR

[E] Elias, U.: Oscillation theory of two-term differential equations. Kluwer Publishers, Dordrecht, 1997. | MR | Zbl

[S1] Škerlík, A.: An integral condition of oscillation for the equation $ y^{\prime \prime \prime } + p(t)y^{\prime } + q(t)y = 0 $ with nonnegative coefficients. Arch. Math. (Brno) 31 (1995), 151-161. | MR

[S2] Škerlík, A.: An integral condition of Property $A$ and $B$ for linear differential equation of third order. Proceedings of the Conference on Ordinary Differential Equations Poprad, Slovac Republic (1994), 81-85.