Reconstruction of the Sturm-Liouville operator on a $p$-star graph with nodal data

Reconstruction of the Sturm-Liouville operator on a $p$-star graph with nodal data
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DOI:
10.1216/rmj-2012-42-5-1431
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发表时间:
2012-10
影响因子:
0.8
通讯作者:
Y. Cheng
Y. Cheng
中科院分区:
数学4区
文献类型:
--
作者:
Y. Cheng

文献摘要

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.本文讨论了在p -星星图上定义的Sturm-Liouville算子,用一组节点数据加p常数重构的逆问题.我们的重建公式是直接和明确的。本文还导出了特征值渐近性。
. In this paper, we deal with the inverse prob- lem of reconstructing the Sturm-Liouville operator defined on a p -star graph with a set of nodal data plus p constant. Our reconstruct formulas are direct and explicit. We also derive the eigenvalue asymptotics in this paper.