An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition

Xiao-Chuan Xu; Yi-Jun Pan

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arXiv · 2411.06779

An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition

Xiao-Chuan Xu·Yi-Jun Pan

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Abstract

In this work, we study the inverse spectral problem, using the Weyl matrix as the input data, for the matrix Schrodinger operator on the half-line with the boundary condition being the form of the most general self-adjoint. We prove the uniqueness theorem, and derive the main equation and prove its solvability, which yields a theoretical reconstruction algorithm of the inverse problem.

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BibTeX RIS

Xiao-Chuan Xu, Yi-Jun Pan. 2024-11-11. An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition. https://arxiv.org/abs/2411.06779

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