Abstract
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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Acknowledgements
The authors would like to thank the referees for valuable comments. This work was supported in part by the National Natural Science Foundation of China (11871031) and the Natural Science Foundation of Jiang Su Province (BK20201303).
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FW wrote the main manuscript text. C-FY and NPB revised some parts of the manuscript text.
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Wang, F., Yang, CF. & Bondarenko, N.P. Traces for Sturm–Liouville Operators on a Caterpillar Graph. Complex Anal. Oper. Theory 18, 64 (2024). https://doi.org/10.1007/s11785-024-01505-5
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DOI: https://doi.org/10.1007/s11785-024-01505-5