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Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: II

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Abstract

The spectral problem for the Sturm–Liouville operator with arbitrary complex-valued potential q(x) of the class L1(0, π) and degenerate boundary conditions is considered. We prove that the system of root functions of this operator is not a basis in the space L2(0, π).

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References

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Authors and Affiliations

  1. Moscow Technological University (MIREA), Moscow, 119454, Russia

    A. S. Makin

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  1. A. S. Makin
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Correspondence to A. S. Makin.

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Original Russian Text © A.S. Makin, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 12, pp. 1610–1625.

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Makin, A.S. Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: II. Diff Equat 54, 1566–1582 (2018). https://doi.org/10.1134/S0012266118120042

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  • DOI: https://doi.org/10.1134/S0012266118120042

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