On a conjecture about an integral criterion for oscillation

Uri Elias, Anton Skerlik

Address. U. Elias, Department of Mathematics, Technion, Haifa 32000, ISRAEL

A. Skerlik Department of Mathematics, Technical University, Letna 9, 041 54 Kosice, SLOVAKIA

E-mail: elias@techunix.technion.ac.il


Abstract. 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.

AMSclassification. 34C10

Keywords. Oscillation, Property $A$, Property $B$