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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 6, Pages 1016–1027
DOI: https://doi.org/10.31857/S0044466924060105
(Mi zvmmf11772)
 

Partial Differential Equations

Functionals of eigenvalues on the manifold of potentials

Ya. M. Dymarskii

Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia
Abstract: The functional of eigenvalues on the manifold of periodic potentials is described analytically and topologically.
Key words: space of periodic boundary value problems, functional of eigenvalues, bundle of manifold of potentials.
Received: 12.12.2023
Accepted: 05.03.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 6, Pages 1261–1273
DOI: https://doi.org/10.1134/S0965542524700490
Bibliographic databases:
Document Type: Article
UDC: 517.927.25+517.988.2
Language: Russian
Citation: Ya. M. Dymarskii, “Functionals of eigenvalues on the manifold of potentials”, Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024), 1016–1027; Comput. Math. Math. Phys., 64:6 (2024), 1261–1273
Citation in format AMSBIB
\Bibitem{Dym24}
\by Ya.~M.~Dymarskii
\paper Functionals of eigenvalues on the manifold of potentials
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 6
\pages 1016--1027
\mathnet{http://mi.mathnet.ru/zvmmf11772}
\crossref{https://doi.org/10.31857/S0044466924060105}
\elib{https://elibrary.ru/item.asp?id=75171319}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 6
\pages 1261--1273
\crossref{https://doi.org/10.1134/S0965542524700490}
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