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Sbornik: Mathematics, 2021, Volume 212, Issue 9, Pages 1208–1227
DOI: https://doi.org/10.1070/SM9294 (Mi sm9294) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An eigenfunction manifold generated by a family of periodic boundary value problems

Ya. M. Dymarskiia, A. A. Bondar'b

a Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, Russia
b Specialized Educational and Scientific Center, Ural Federal University named after the first President of Russia B. N. Yeltsin, Ekaterinburg, Russia
English version PDF (598 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM9294
Abstract: An analytic and topological description is given of the manifold of periodic eigenfunctions generated by the space of one-dimensional stationary Schrödinger equations with periodic real potentials. Connections with results due to Neuman, Ince and Uhlenbeck are discussed.
Bibliography: 11 titles.
Keywords: space of periodic boundary-value problems, fibration of the eigenfunction manifold.
Received: 23.06.2019 and 13.04.2021
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 9, Pages 18–39
DOI: https://doi.org/10.4213/sm9294
Bibliographic databases:
Document Type: Article
UDC: 517.927.25+517.988.2
MSC: 34L05, 34L10
Language: English
Original paper language: Russian
Citation: Ya. M. Dymarskii, A. A. Bondar', “An eigenfunction manifold generated by a family of periodic boundary value problems”, Mat. Sb., 212:9 (2021), 18–39; Sb. Math., 212:9 (2021), 1208–1227
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:40
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    References:43
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