Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 141, Pages 86–94 (Mi into245)  
On the separation property of the Sturm–Liouville operator in weighted spaces of multiplicators

A. Kasym, L. K. Kusainova

L. N. Gumilev Eurasian National University, Astana
Full-text PDF (177 kB)
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.
Keywords: separation property, differential operator, multiplicator, weighted space.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 5, Pages 596–604
DOI: https://doi.org/10.1007/s10958-019-04448-x
Bibliographic databases:
Document Type: Article
UDC: 517.948
MSC: 35Q40, 35J10
Language: Russian
Citation: A. Kasym, L. K. Kusainova, “On the separation property of the Sturm–Liouville operator in weighted spaces of multiplicators”, Differential equations. Spectral theory, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 141, VINITI, M., 2017, 86–94; Journal of Mathematical Sciences, 241:5 (2019), 596–604
Citation in format AMSBIB
\Bibitem{KasKus17}
\by A.~Kasym, L.~K.~Kusainova
\paper On the separation property of the Sturm--Liouville operator in weighted spaces of multiplicators
\inbook Differential equations. Spectral theory
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 141
\pages 86--94
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into245}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801340}
\zmath{https://zbmath.org/?q=an:07123835}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 5
\pages 596--604
\crossref{https://doi.org/10.1007/s10958-019-04448-x}
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