@Article{Pivovarchik2005,
author = "Pivovarchik, Vyacheslav",
title = "Recovering a part of potential by partial information on spectra of boundary problems",
journal = "Opuscula Math.",
year = "2005",
volume = "25",
number = "1",
pages = "131--137",
doi = "http://dx.doi.org/10.7494/OpMath.2005.25.1.131",
url = "http://dx.doi.org/10.7494/OpMath.2005.25.1.131",
abstract = "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 \([\frac{a}{3},a]\).",
keywords = "sine-type function, Lagrange interpolation series, Dirichlet boundary value problem, Dirichlet-Neumann boundary value problem",
issn = "1232-9274"
}