On the problem of oscillation properties of positive differential operators with singular coefficients


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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.

About the authors

A. A. Vladimirov

Dorodnitsyn Computer Center; Federal Research Center “Informatics and Control,”

Author for correspondence.
Email: vladimi@mech.math.msu.su
Russian Federation, Moscow; Moscow

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