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On manifolds of eigenfunctions and potentials generated by a family of periodic boundary-value problems

  • Ya. M. Dymarskii
Article

Abstract

We consider a family of boundary-value problems with some potential as a parameter. We study the manifold of normalized eigenfunctions with even number of zeros in a period, and the manifold of potentials associated with double eigenvalues. In particular, we prove that the manifold of normalized eigenfunctions is a trivial fiber space over a unit circle and that the manifold of potentials with double eigenvalues is a homotopically trivial manifold trivially imbedded into the space of potentials.

Keywords

Fiber Bundle Phase Curve Manifold Versus Local Trivialization Symmetric Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Ya. M. Dymarskii

There are no affiliations available

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