In this manuscript, we study second–order differential operators with a constant delay and transmission boundary conditions. We establish properties of the spectral characteristics and investigate the inverse problem of recovering operators from their spectra. Also, we construct the potential function by using the Fourier series and delay point of the Sturm–Liouville differential operator.

中文翻译：

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具有不连续条件和恒定延迟的Sturm-Liouville微分算子的重构

在本文中，我们研究了具有恒定延迟和传输边界条件的二阶微分算子。我们建立光谱特征的性质，并研究从其光谱中恢复算子的反问题。此外，我们通过使用Sturm-Liouville微分算子的傅立叶级数和延迟点来构造势函数。