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Traces for Sturm–Liouville Operators with Constant Delays on a Star Graph

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Abstract

In this work we consider the spectral problems for Sturm–Liouville operators with constant delays on a star graph. First the asymptotics for the large eigenvalues of these operators are derived. Secondly the regularized trace formulae of these operators are established with the method of complex analysis.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (11871031) and the National Natural Science Foundation of Jiang Su (BK20201303). Authors acknowledge Professor Sergey Buterin for providing us with the latest achievements in this direction.

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  1. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China

    Feng Wang & Chuan-Fu Yang

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  1. Feng Wang
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  2. Chuan-Fu Yang
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Correspondence to Chuan-Fu Yang.

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Wang, F., Yang, CF. Traces for Sturm–Liouville Operators with Constant Delays on a Star Graph. Results Math 76, 220 (2021). https://doi.org/10.1007/s00025-021-01529-9

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