Summary
This paper is concerned with Sturm-Liouville eigenvalue problems with singularities in the interior of the interval of definition of the differential equation. Such circumstances arise in mathematical models of certain physical problems. It is shown that the eigenvalue problems can be represented by self-adjoint, unbounded differential operators in a suitable chosen Hilbert function space. Numerical values for the eigenvalues can be obtained using the SLEIGN computer programme.
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Everitt, W.N., Gunson, J. & Zettl, A. Some comments on Sturm-Liouville eigenvalue problems with interior singularities. Z. angew. Math. Phys. 38, 813–838 (1987). https://doi.org/10.1007/BF00945820
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DOI: https://doi.org/10.1007/BF00945820