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

• Date: 1996
• Main Authors: Dymarskii, Ya. M., Дымарский, Я. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5277
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 eig...