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<p>In this work, we study an inverse problem for the matrix Schrödinger operator on the half-line with the boundary condition being the form of the most general self-adjoint. We prove the necessary and suffcient conditions for a meromorphic matrix-valued function to be the Weyl matrix of a matrix Schrödinger operator.</p>

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Necessary and Sufficient Conditions for the Solvability of an Inverse Problem for the Matrix Schrödinger Operator on the Half-line

  • 期刊论文

  • 发表日期：

    2026年7月6日

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  • Yi-jun Pan,
  • Xiao-chuan Xu

摘要

In this work, we study an inverse problem for the matrix Schrödinger operator on the half-line with the boundary condition being the form of the most general self-adjoint. We prove the necessary and suffcient conditions for a meromorphic matrix-valued function to be the Weyl matrix of a matrix Schrödinger operator.