A. N. Minarsky, A. I. Nazarov, “On the spectra of boundary value problems generated by some 1D embedding theorems”, Zap. Nauchn. Sem. POMI, 2017, Volume 459,Pages <nobr>58

On the spectra of boundary value problems generated by some 1D embedding theorems

A. N. Minarsky^a, A. I. Nazarov^bc

^a Academic University of the Russian Academy of Sciences, St. Petersburg, Russia
^b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^c St. Petersburg State University, St. Petersburg, Russsia

Abstract: We consider the spectra of boundary value problems related to 1D higher order embedding theorems. For some orders, we prove that the eigenvalues corresponding to even eigenfunctions of different problems cannot coincide.

Key words and phrases: higher order embedding theorems, eigenvalues.

UDC: 517

Received: 11.09.2017