卡特彼勒图上的 Sturm-Liouville 算子轨迹

Pub Date : 2024-03-25 DOI:10.1007/s11785-024-01505-5

Feng Wang, Chuan-Fu Yang, Natalia P. Bondarenko

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摘要

在这项工作中，我们考虑了毛毛虫图上的 Sturm-Liouville 算子的谱问题，这些算子在内部顶点具有标准匹配条件，在边界顶点具有 Neumann 或 Dirichlet 条件。利用复分析的残差技术建立了这些算子的正则化迹线公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Traces for Sturm–Liouville Operators on a Caterpillar Graph

In this work, we consider the spectral problems for the Sturm–Liouville operators on a caterpillar graph with the standard matching conditions in the internal vertices and the Neumann or the Dirichlet conditions in the boundary vertices. The regularized trace formulae of these operators are established by using the residue techniques of complex analysis.

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