论文标题
二阶功能差异铅笔的逆光谱问题，有两个延迟
An inverse spectral problem for second-order functional-differential pencils with two delays
论文作者
论文摘要
我们考虑了一个二阶功能差异铅笔，该铅笔具有两个恒定的论点延迟，并研究了从两个具有一个共同边界条件的边界值问题的光谱中恢复其系数的反问题。证明了唯一性定理，并获得了解决此反问题的建设性程序，以及为其解决性提供的必要条件。此外，我们对有延迟的运营商的反光谱理论的当代状态进行了调查。所考虑的铅笔将Sturm-Liouville型操作员延迟延迟，这使我们能够在这个方向上说明基本的结果，包括最近解决的开放问题。
We consider a second order functional-differential pencil with two constant delays of the argument and study the inverse problem of recovering its coefficients from the spectra of two boundary value problems with one common boundary condition. The uniqueness theorem is proved and a constructive procedure for solving this inverse problem along with necessary and sufficient conditions for its solvability is obtained. Moreover, we give a survey on the contemporary state of the inverse spectral theory for operators with delay. The pencil under consideration generalizes Sturm-Liouville-type operators with delay, which allows us to illustrate essential results in this direction, including recently solved open questions.
