TY  - JOUR
ID  - Pivovarchik2005
LB  - Pivovarchik2005
AU  - Pivovarchik, Vyacheslav
TI  - Recovering a part of potential by partial information on spectra of boundary problems
ST  - Recovering a part of potential by partial information on spectra of boundary problems
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 1
SP  - 131
EP  - 137
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.1.131
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.1.131
AB  - 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 \([\frac{a}{3},a]\).
KW  - sine-type function
KW  - Lagrange interpolation series
KW  - Dirichlet boundary value problem
KW  - Dirichlet-Neumann boundary value problem
SN  - 1232-9274
ER  -