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An application of the fixed point theorem to the inverse sturm–liouville problem

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The Sturm–Liouville operators −y″ + v(x)y on [0, 1] with Dirichlet boundary conditions y(0) = y(1) = 0 are considered. For any 1 ≤ p < ∞, a short proof of the characterization theorem for the spectral data corresponding to v ∈ Lp(0, 1) is given. Bibliography: 10 titles.

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    D. Chelkak

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  1. D. Chelkak
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Correspondence to D. Chelkak.

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 370, 2009, pp. 203–218.

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Chelkak, D. An application of the fixed point theorem to the inverse sturm–liouville problem. J Math Sci 166, 118–126 (2010). https://doi.org/10.1007/s10958-010-9850-z

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  • DOI: https://doi.org/10.1007/s10958-010-9850-z

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