Ya. M. Dymarskii, A. A. Bondar', “An eigenfunction manifold generated by a family of periodic boundary value problems”, Mat. Sb., 2021, Volume 212, Number 9,Pages <nobr>18

This article is cited in 1 paper

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

Ya. M. Dymarskii^a, 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

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.

UDC: 517.927.25+517.988.2

MSC: 34L05, 34L10

Received: 23.06.2019 and 13.04.2021

DOI: 10.4213/sm9294