Opuscula Mathematica
Opuscula Math. 36, no. 3 (), 301-314
Opuscula Mathematica

Higher order Nevanlinna functions and the inverse three spectra problem

Abstract. The three spectra problem of recovering the Sturm-Liouville equation by the spectrum of the Dirichlet-Dirichlet boundary value problem on \([0,a]\), the Dirichlet-Dirichlet problem on \([0,a/2]\) and the Neumann-Dirichlet problem on \([a/2,a]\) is considered. Sufficient conditions of solvability and of uniqueness of the solution to such a problem are found.
Keywords: spectrum, eigenvalue, Dirichlet boundary condition, Neumann boundary condition, Marchenko equation, Nevanlinna function.
Mathematics Subject Classification: 34A55, 34B24.
Cite this article as:
Olga Boyko, Olga Martinyuk, Vyacheslav Pivovarchik, Higher order Nevanlinna functions and the inverse three spectra problem, Opuscula Math. 36, no. 3 (2016), 301-314, http://dx.doi.org/10.7494/OpMath.2016.36.3.301
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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