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On a new class of boundary value problems for the Sturm-Liouville operator

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Abstract

We consider the spectral problem generated by the Sturm-Liouville operator with complex-valued potential q(x) ∈ L 2(0, π) and degenerate boundary conditions. We show that the set of potentials q(x) for which there exist associated functions of arbitrarily high order in the system of root functions is everywhere dense in L 1(0, π).

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References

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Authors and Affiliations

  1. Moscow State University of Instrument Engineering and Computer Science, Moscow, Russia

    A. S. Makin

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  1. A. S. Makin
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Original Russian Text © A.S. Makin, 2013, published in Differentsial’nye Uravneniya, 2013, Vol. 49, No. 2, pp. 260–264.

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Makin, A.S. On a new class of boundary value problems for the Sturm-Liouville operator. Diff Equat 49, 262–266 (2013). https://doi.org/10.1134/S0012266113020146

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  • DOI: https://doi.org/10.1134/S0012266113020146

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