A Class of Singular Sturm–Liouville Problems with Discontinuity and an Eigenparameter-Dependent Boundary Condition
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Published:2022-11-24
Issue:23
Volume:10
Page:4430
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ISSN:2227-7390
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Container-title:Mathematics
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language:en
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Short-container-title:Mathematics
Author:
Cai Jinming,Zheng Zhaowen,Li Kun
Abstract
In this paper, we study a singular Sturm–Liouville problem with an eigenparameter-dependent boundary condition and transmission conditions at two interior points. Using an operator-theoretical formulation, we transfer the problem to an operator in an appropriate Hilbert space. It is proved that the operator is self-adjoint. We also give the asymptotic formulas of the eigenvalues of the problem. Moreover, Green’s function is also discussed.
Funder
Natural Science Foundation of Shandong Province
National Nature Science Foundation of China
Postdoctoral Foundation of China
Youth Creative Team Sci-Tech Program of Shandong Universities
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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