Abstract
In 1910, Herman Weyl [7] took a major step in opening up the study of singular boundary value problems. He showed that if a second order problem, singular at one end, is restricted to a regular interval, then each regular, separated boundary condition imposed near a singular end is in a 1-to-1 correspondence with a point on a circle in the complex plane. That is, each such boundary condition corresponds to a different point on the circle, and every point on the circle corresponds to a different boundary condition.
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References
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Krall, A.M. (2002). The Niessen Approach to Singular Hamiltonian Systems. In: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials. Operator Theory: Advances and Applications, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8155-5_6
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DOI: https://doi.org/10.1007/978-3-0348-8155-5_6
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