论文标题
在恢复Sturm- liouville差异操作员时，时间尺度
On recovering the Sturm--Liouville differential operators on time scales
论文作者
论文摘要
我们在由有限数量的隔离点和段组成的时间尺度上研究Sturm- liouville差异操作员。在上一篇论文中，确定此类操作员是由其光谱特征唯一决定的。在本文中，获得了基于光谱映射方法恢复的算法。我们还证明了两个sturm--liouville边界价值问题的特征值与一个共同的边界条件交替。
We study Sturm--Liouville differential operators on the time scales consisting of a finite number of isolated points and segments. In a previous paper it was established that such operators are uniquely determined by their spectral characteristics. In the present paper, an algorithm for their recovery based on the method of spectral mappings is obtained. We also prove that the eigenvalues of two Sturm--Liouville boundary value problems with one common boundary condition alternate.
