A. A. Vladimirov, “On the Problem of Oscillation Properties of Positive Differential Operators with Singular Coefficients”, Mat. Zametki, 2016, Volume 100, Issue 6,Pages <nobr>800

This article is cited in 6 papers

On the Problem of Oscillation Properties of Positive Differential Operators with Singular Coefficients

A. A. Vladimirov^ab

^a Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
^b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences

Abstract: A criterion for a highly singular positive fourth-order operator with separable boundary conditions to have oscillation properties, as well as sufficient conditions for similar higher-order operators to have oscillation properties, are obtained.

Keywords: positive self-adjoint ordinary differential operator, Sobolev space, oscillation of eigenfunctions.

UDC: 517.927+517.983.35

Received: 09.02.2016

DOI: 10.4213/mzm11194