An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line

被引：0

作者：

Natalia Bondarenko

机构：

[1] Saratov State University,Department of Mechanics and Mathematics

来源：

Boundary Value Problems | / 2015卷

关键词：

matrix Sturm-Liouville operators; inverse spectral problems; method of spectral mappings; 34A55; 34B24; 47E05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. The inverse spectral problem is studied, which consists in recovering of this operator by the Weyl matrix. The author provides necessary and sufficient conditions for a meromorphic matrix function being a 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.

引用

共 50 条

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