Journal of Mathematical Sciences

, Volume 166, Issue 1, pp 118–126 | Cite as

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


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.


Boundary Condition Russia Spectral Data Point Theorem Dirichlet Boundary 
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© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.St.Petersburg Department of the Steklov Mathematical InstituteSt.PetersburgRussia

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