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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2005, Volume 12, Number 1, Pages 119–125 (Mi jmag177)  
Short Notes

Operator theoretical proof of the Arnold alternation theorem and its generalization

F. S. Rofe-Beketov

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Full-text PDF (242 kB) (1)
Abstract: A generalization of the Arnold alternation theorem and the Sturm oscillation theorem in the case of general boundary conditions, both in the context of operator differential equations, are obtained.
Received: 22.12.2004
Bibliographic databases:
Document Type: Article
MSC: 34L05, 47E05
Language: Russian
Citation: F. S. Rofe-Beketov, “Operator theoretical proof of the Arnold alternation theorem and its generalization”, Mat. Fiz. Anal. Geom., 12:1 (2005), 119–125
Citation in format AMSBIB
\Bibitem{Rof05}
\by F.~S.~Rofe-Beketov
\paper Operator theoretical proof of the Arnold alternation theorem and its generalization
\jour Mat. Fiz. Anal. Geom.
\yr 2005
\vol 12
\issue 1
\pages 119--125
\mathnet{http://mi.mathnet.ru/jmag177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2135430}
\zmath{https://zbmath.org/?q=an:1076.34067}
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  • https://www.mathnet.ru/eng/jmag/v12/i1/p119
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