An inverse nodal problem for integro-differential operators
An inverse nodal problem for integro-differential operators
复制标题
DOI：
10.1515/jiip.2010.014
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Y. V. Kuryshova;Chung‐Tsun Shieh
中科院分区：
文献类型：
--
作者：
Y. V. Kuryshova;Chung‐Tsun Shieh
摘要研究了具有Sturm-Liouville微分部分和Volterra型积分部分的恢复积分-微分算子的逆节点问题。在积分摄动核已知的情况下，我们重构位势和边界条件。我们证明了一个唯一性定理，并给出了边界条件的位势和参数的重构公式。
Abstract The inverse nodal problem of recovering integral-differential operators with the Sturm–Liouville differential part and the integral part of Volterra type is studied. We reconstruct the potential and the boundary conditions provided the kernel of integral perturbation is known. We prove a uniqueness theorem and provide reconstruction formulae for the potential and parameters of the boundary conditions.