ABSTRACT The Dirac system with an integral delay in the form of convolution is considered. We suppose that the convolution kernel, having four independent components, is known a priori on a part of the interval. A partial inverse problem is studied, which consists in recovering the kernel on the remaining part of the interval from some fractional parts of two spectra. Uniqueness theorems are proved, and a constructive algorithm is developed for solving this inverse problem.

中文翻译：

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具有积分延迟的狄拉克系统的部分反问题

摘要 考虑具有卷积形式的积分延迟的狄拉克系统。我们假设具有四个独立分量的卷积核在区间的一部分上是先验已知的。研究了部分逆问题，该问题包括从两个谱的一些小数部分恢复区间剩余部分的核。证明了唯一性定理，并开发了一种构造算法来解决这个逆问题。