TY  - JOUR
ID  - Boyko2016
LB  - Boyko2016
AU  - Boyko, Olga
AU  - Martinyuk, Olga
AU  - Pivovarchik, Vyacheslav
TI  - Higher order Nevanlinna functions and the inverse three spectra problem
ST  - Higher order Nevanlinna functions and the inverse three spectra problem
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 3
SP  - 301
EP  - 314
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.3.301
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.3.301
AB  - 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.
KW  - spectrum
KW  - eigenvalue
KW  - Dirichlet boundary condition
KW  - Neumann boundary condition
KW  - Marchenko equation
KW  - Nevanlinna function
SN  - 1232-9274
ER  -