一类Schrdinger算子逆谱问题的惟一性

The uniqueness for the inverse problem of a Schrdinger operator

考虑边值条件中含谱参数的一类Schrdinger算子逆谱的惟一性问题.由Sturm-Liouville问题逆谱理论中的惟一性定理及整函数的性质证明了基于一定条件下,特征值(包括重数)和一个相关的参数γ能惟一确定势函数.

In this paper, it is considered that the uniqueness for the inverse problem of a Schrodinger operator, whose boundary condition contains spectral parameter. The uniqueness theorem of inverse spectral theory for Sturm-Liouville problems and the properties of entire function indicate that the potential function q（γ） can be uniquely determined up to the eigenvalues including their multiplicities and a related parameter 7 in certain conditions.