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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 4, Pages 604–621 (Mi jmag319)  
This article is cited in 1 scientific paper (total in 1 paper)

Intersection number and eigenvectors of quasilinear Hilbert–Schmidt operators

Ya. M. Dymarskii

Department of Mathematics, Lugansk State Pedagogical University, 2 Oboronnaya Str., Lugansk, 91011, Ukraine
Full-text PDF (276 kB) Citations (1)
Abstract: For the spesial class of quasilinear operators a topologocal construction is described with the help of which existence theorems of normalized eigenvectors may be obtained. The construction is based on utilization of an intersection number of two Hilbert submanifolds one of which is generated by the given operator and another is anchanged.
Received: 26.11.2001
Bibliographic databases:
Document Type: Article
Language: English
Citation: Ya. M. Dymarskii, “Intersection number and eigenvectors of quasilinear Hilbert–Schmidt operators”, Mat. Fiz. Anal. Geom., 9:4 (2002), 604–621
Citation in format AMSBIB
\Bibitem{Dym02}
\by Ya.~M.~Dymarskii
\paper Intersection number and eigenvectors of quasilinear Hilbert--Schmidt operators
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 4
\pages 604--621
\mathnet{http://mi.mathnet.ru/jmag319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1965302}
\zmath{https://zbmath.org/?q=an:1058.47053}
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  • https://www.mathnet.ru/eng/jmag/v9/i4/p604
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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