Abstract
We extend some fundamental spectral properties of classic regular Sturm--Liouville problems to discontinuous boundary-value problems with eigenvalue-dependent boundary conditions. We suggest a new approach for investigation of such type discontinuous problems.
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Altinisik, N., Kadakal, M. & Mukhtarov, O.S. Eigenvalues and eigenfunctions of discontinuous Sturm--Liouville problems with eigenparameter-dependent boundary conditions. Acta Mathematica Hungarica 102, 159–193 (2004). https://doi.org/10.1023/B:AMHU.0000023214.99631.52
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DOI: https://doi.org/10.1023/B:AMHU.0000023214.99631.52