Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method
Spectral Theory
2020-05-08 v2
Abstract
An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution, and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases
Keywords
Cite
@article{arxiv.2004.14721,
title = {Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method},
author = {Natalia P. Bondarenko},
journal= {arXiv preprint arXiv:2004.14721},
year = {2020}
}