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Inverse Sturm-Liouville problem with generalized periodic boundary conditions

  • Ordinary Differential Equations
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Abstract

In the present paper, we prove the uniqueness theorem for the inverse Sturm-Liouville problem with nonseparated boundary conditions, which generalize periodic boundary conditions. We suggest methods for solving these inverse problems. The corresponding examples and counterexamples are considered.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    V. A. Sadovnichii, Ya. T. Sultanaev & A. M. Akhtyamov

Authors
  1. V. A. Sadovnichii
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  2. Ya. T. Sultanaev
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  3. A. M. Akhtyamov
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Additional information

Original Russian Text © V.A. Sadovnichii, Ya.T. Sultanaev, A.M. Akhtyamov, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 4, pp. 512–523.

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Sadovnichii, V.A., Sultanaev, Y.T. & Akhtyamov, A.M. Inverse Sturm-Liouville problem with generalized periodic boundary conditions. Diff Equat 45, 526–538 (2009). https://doi.org/10.1134/S0012266109040065

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  • DOI: https://doi.org/10.1134/S0012266109040065

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