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

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

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.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-09, Vol.241 (5), p.596-604
Hauptverfasser: Kassym, A. S., Kusainova, L. K.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Separation
Sobolev space
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04448-x