arXiv Open Access 2020

Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator

Natalia Bondarenko

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP

Penulis (1)

Natalia Bondarenko

Format Sitasi

APA MLA BibTeX

Bondarenko, N. (2020). Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator. https://arxiv.org/abs/2003.01796

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓