Abstract The half-inverse problem is studied for the Sturm–Liouville operator with an eigenparameter dependent boundary condition on a finite interval. We develop a reconstruction procedure and prove the existence theorem for solution of the inverse problem. Our method is based on interpolation of entire functions.

中文翻译：

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具有特征参数相关边界条件的 Hochstadt-Lieberman 型问题

摘要 研究了有限区间上具有特征参数相关边界条件的Sturm-Liouville算子的半逆问题。我们开发了一个重建程序并证明了求解逆问题的存在定理。我们的方法基于整个函数的插值。