@Article{Boyko2016, author = "Boyko, Olga and Martinyuk, Olga and Pivovarchik, Vyacheslav", title = "Higher order Nevanlinna functions and the inverse three spectra problem", journal = "Opuscula Math.", year = "2016", volume = "36", number = "3", pages = "301--314", doi = "http://dx.doi.org/10.7494/OpMath.2016.36.3.301", url = "http://dx.doi.org/10.7494/OpMath.2016.36.3.301", 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", issn = "1232-9274" }