Abstract In the present work, the interior spectral data is used to investigate the inverse problem for a diffusion operator with an impulse on the half line. We show that the potential functions q 0 ⁢ ( x ) {q_{0}(x)} and q 1 ⁢ ( x ) {q_{1}(x)} can be uniquely established by taking a set of values of the eigenfunctions at some internal point and one spectrum.

中文翻译：

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从内部光谱数据确定脉冲扩散算子

摘要 在目前的工作中，内部光谱数据用于研究具有脉冲在半线上的扩散算子的逆问题。我们证明了通过取一组特征函数值可以唯一地建立势函数 q 0 ⁢ ( x ) {q_{0}(x)} 和 q 1 ⁢ ( x ) {q_{1}(x)}在某个内部点和一个频谱。