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Keywords:
oscillation; Property A; Property B
oscillation; Property A; Property B
Summary:
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.
References:
[K] Kiguradze, I. T. and Chanturia, T. A.: Asymptotic properties of solutions of nonautonomous ordinary differential equations. Kluwer Publishers, Dordrecht, 1993. MR 1220223
[E] Elias, U.: Oscillation theory of two-term differential equations. Kluwer Publishers, Dordrecht, 1997. MR 1445292 | Zbl 0878.34022
[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 1357983
[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.
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