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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2024 Volume 64, Number 6, Pages 1016–1027 (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.

UDC: 517.927.25+517.988.2

Received: 12.12.2023
Accepted: 05.03.2024

DOI: 10.31857/S0044466924060105


 English version:
Computational Mathematics and Mathematical Physics, 2024, 64:6, 1261–1273

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© Steklov Math. Inst. of RAS, 2025