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On the basis property of eigenfunctions of a singular second-order differential operator

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Abstract

We consider the first boundary value problem for a singular differential operator of second order on an interval with transmission conditions at an interior point of the interval. We show that the system of eigenfunctions corresponding to this problem is complete in the space L 2(0, 1) and forms a Riesz basis in that space.

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References

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    O. V. Belyantsev & I. S. Lomov

Authors
  1. O. V. Belyantsev
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  2. I. S. Lomov
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Additional information

Original Russian Text © O.V. Belyantsev, I.S. Lomov, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 8, pp. 1187–1189.

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Belyantsev, O.V., Lomov, I.S. On the basis property of eigenfunctions of a singular second-order differential operator. Diff Equat 48, 1174–1176 (2012). https://doi.org/10.1134/S0012266112080125

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  • DOI: https://doi.org/10.1134/S0012266112080125

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