Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator
Spectral Theory
2020-03-05 v1
Abstract
An inverse spectral problem is studied for the matrix Sturm-Liouville operator on a finite interval with the general self-adjoint boundary condition. We obtain a constructive solution based on the method of spectral mappings for the considered inverse problem. The nonlinear inverse problem is reduced to a linear equation in a special Banach space of infinite matrix sequences. In addition, we apply our results to the Sturm-Liouville operator on a star-shaped graph.
Cite
@article{arxiv.2003.01796,
title = {Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator},
author = {Natalia Bondarenko},
journal= {arXiv preprint arXiv:2003.01796},
year = {2020}
}