Abstract
The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems. The bounds of the real and imaginary parts of eigenvalues for the nonlocal Sturm-Liouville differential equation involving complex nonlocal potential terms associated with nonlocal boundary conditions are obtained in terms of the integrable conditions of coefficients and the real part of the eigenvalues.
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Acknowledgment
The authors thank the referee for his/her comments and detailed suggestions. These have significantly improved the presentation of this paper. The authors would like to thank Professor Jiangang Qi (Shandong University) and Professor Zhaowen Zheng (Qufu Normal University) for their generous help.
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Supported by the National Nature Science Foundation of China(12101356, 12101357, 12071254, 11771253), the National Science Foundation of Shandong Province(ZR2021QA065, ZR2020QA009, ZR2021MA047), the China Postdoctoral Science Foundation(2019M662313).
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Sun, F., Li, K. Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems. Appl. Math. J. Chin. Univ. 38, 100–110 (2023). https://doi.org/10.1007/s11766-023-3991-6
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DOI: https://doi.org/10.1007/s11766-023-3991-6