Abstract
The spectral problem for the Sturm–Liouville operator with an 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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Original Russian Text © A.S. Makin, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 10, pp. 1367–1382.
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Makin, A.S. Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: I. Diff Equat 54, 1338–1353 (2018). https://doi.org/10.1134/S0012266118100051
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DOI: https://doi.org/10.1134/S0012266118100051