Solving the inverse Sturm–Liouville problem with singular potential and with polynomials in the boundary conditions

In this paper, we for the first time get constructive solution for the inverse Sturm–Liouville problem with complex-valued singular potential and with polynomials of the spectral parameter in the boundary conditions. The uniqueness of recovering the potential and the polynomials from the Weyl functi...

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Bibliographic Details

Published in:	Analysis and mathematical physics Vol. 13; no. 5
Main Authors:	Chitorkin, Egor E., Bondarenko, Natalia P.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.10.2023
Subjects:	Analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics 34L40 Constructive algorithm Inverse spectral problems 34B24 34A55 Polynomials in the boundary conditions Sturm–Liouville operator Uniqueness theorem 34B09 Singular potential 34B07
ISSN:	1664-2368, 1664-235X
Online Access:	Get full text
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