OPTIMIZATION INVERSE SPECTRAL PROBLEM FOR THE ONE-DIMENSIONAL SCHRODINGER OPERATOR ON THE ENTIRE AXIS-Reference-Cited by-同舟云学术

OPTIMIZATION INVERSE SPECTRAL PROBLEM FOR THE ONE-DIMENSIONAL SCHRODINGER OPERATOR ON THE ENTIRE AXIS

Published:2024-12-15 Issue:4 Volume:60 Page:492-499
ISSN:0374-0641
Container-title:Дифференциальные уравнения
language:
Short-container-title:Differencialʹnye uravneniâ

Author:

Sadovnichii V. A.¹,Sultanaev Ya. T.²³,Valeev N. F.⁴

Affiliation:

1. Lomonosov Moscow State University

2. Akmulla Bashkir State Pedagogical University

3. Moscow Center for Applied and Fundamental Mathematics

4. Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of RAS

Abstract

We investigate the statement of the optimization inverse spectral problem with incomplete spectral data for the one-dimensional Schr¨odinger operator on the entire axis: for a given potential ????0, find the closest function ????^ such that the first ???? eigenvalues of the Schrodinger operator with potential ????^ coincided with the given values ????* ∈ R, ???? = 1, ????.

Publisher

The Russian Academy of Sciences

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