DOI: 10.7494/opmath.2005.25.1.131 ISSN: 1232-9274

Recovering a part of potential by partial information on spectra of boundary problems

Vyacheslav Pivovarchik
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Under additional conditions uniqueness of the solution is proved for the following problem. Given 1) the spectrum of the Dirichlet problem for the Sturm-Liouville equation on \([0,a]\) with real potential \(q(x)\in L_2(0,a)\), 2) a certain part of the spectrum of the Dirichlet problem for the same equation on \([\frac{a}{3},a]\) and 3) the potential on \([0,\frac{a}{3}]\). The aim is to find the potential on \([\frac{a}{3},a]\).

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