On the Spectra of Boundary Value Problems Generated by Some One-Dimensional Embedding Theorems


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Abstract

The spectra of boundary value problems related to one-dimensional high order embedding theorems are considered. It is proved that for some orders, the eigenvalues corresponding to even eigenfunctions of different problems cannot coincide.

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A. M. Minarsky

St. Petersburg Academic University

Author for correspondence.
Email: aminarsky@yandex.ru
Russian Federation, St. Petersburg

A. I. Nazarov

St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University

Email: aminarsky@yandex.ru
Russian Federation, St. Petersburg

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