An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
Spectral Theory
2014-12-19 v1
Abstract
The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. We study the inverse spectral problem, which consists in recovering of this operator by the Weyl matrix. The main result of the paper is the necessary and sufficient conditions on the Weyl matrix of the non-self-adjoint matrix Sturm-Liouville operator. We also investigate the self-adjoint case and obtain the characterization of the spectral data as a corollary of our general result.
Keywords
Cite
@article{arxiv.1412.5962,
title = {An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line},
author = {Natalia Bondarenko},
journal= {arXiv preprint arXiv:1412.5962},
year = {2014}
}
Comments
20 pages, 2 figures