On the Separation Property of the Sturm–Liouville Operator in Weighted Spaces of Multiplicators


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Abstract

In this paper, we prove the separation theorem for the Sturm–Liouville operator in terms of point multiplicators in weighted Sobolev spaces. The research method is based on local estimates on intervals of characteristic length.

About the authors

A. S. Kassym

L. N. Gumilev Eurasian National University

Author for correspondence.
Email: nttaika77@mail.ru
Kazakhstan, Astana

L. K. Kusainova

L. N. Gumilev Eurasian National University

Email: nttaika77@mail.ru
Kazakhstan, Astana

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