An Inverse Problem for the Sturm–Liouville Operator

Bazarkan Nuroldinovich Biyarov

2021

Closed access Metadata (CSL-JSON)
DOI 10.1134/s0001434621070014
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

Abstract We consider spectral problems for the Sturm–Liouville operator generated by Dirichlet, Neumann, Dirichlet–Neumann and Neumann–Dirichlet conditions. Necessary and sufficient condition for the coincidence of the spectrum of the Dirichlet-Neumann and Neumann–Dirichlet problems are obtained. Necessary and sufficient condition for the coincidence of the spectrum, except zero, of the Dirichlet and Neumann problems is also obtained. Their application to periodic and anti-periodic problems is given.