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Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prüfer transformation

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Abstract

A class of Sturm-Liouville problems with discontinuity is studied in this paper. The oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions are obtained. The main method used in this paper is based on Prüfer transformation, which is different from the classical ones. Moreover, we give two examples to verify our main results.

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Authors and Affiliations

  1. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, China

    Zhi-yu Li, Kun Li, **-ming Cai, Jian-fang Qin & Zhao-wen Zheng

  2. College of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China

    Zhao-wen Zheng

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  1. Zhi-yu Li
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  2. Kun Li
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  3. **-ming Cai
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  4. Jian-fang Qin
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  5. Zhao-wen Zheng
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Correspondence to Zhao-wen Zheng.

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Conflict of interest The authors declare no conflict of interest.

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Supported by the Natural Science Foundation of Shandong Province(ZR2023MA023, ZR2021MA047) and Guangdong Provincial Featured Innovation Projects of High School(2023KTSCX067).

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Li, Zy., Li, K., Cai, Jm. et al. Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prüfer transformation. Appl. Math. J. Chin. Univ. 39, 191–200 (2024). https://doi.org/10.1007/s11766-024-4722-3

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  • DOI: https://doi.org/10.1007/s11766-024-4722-3

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