具有非局部位势的周期问题的正问题和反问题
Direct and inverse problems for a periodic problem with non-local potential
摘要：
本文研究了具有周期边界条件的二阶导数算子与一阶（非局部势）积分算子的和。不仅对该算子进行了谱分析，而且解决了逆问题，即，本文提出了一种由谱数据重建非定域势的方法。类的光谱数据，给出的解决方案的反问题进行了说明。
英文摘要：
Sum of a second derivative operator with periodic boundary conditions and an integral operator of rank one (non-local potential) is studied in this manuscript. Not only spectral analysis is conducted for this operator but the inverse problem is solved, viz., a method of the reconstruction of non-local potential by the spectral data is presented. Class of spectral data that give the solution to the inverse problem is described.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
