An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator
Spectral Theory
2014-07-15 v1
Abstract
The inverse problem of spectral analysis for the non-self-adjoint matrix Sturm-Liouville operator on a finite interval is investigated. We study properties of the spectral characteristics for the considered operator, and provide necessary and sufficient conditions for the solvability of the inverse problem. Our approach is based on the constructive solution of the inverse problem by the method of spectral mappings. The characterization of the spectral data in the self-adjoint case is derived as a corollary of the main result.
Cite
@article{arxiv.1407.3581,
title = {An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator},
author = {Natalia Bondarenko},
journal= {arXiv preprint arXiv:1407.3581},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1008.4339