On the uniqueness of the solution of an inverse spectral problem. (English. Russian original) Zbl 1076.34007
Differ. Equ. 39, No. 8, 1061-1066 (2003); translation from Differ. Uravn. 39, No. 8, 1011-1015 (2003).
A uniqueness theorem is proved for the inverse spectral problem of recovering coefficients of the boundary conditions from the spectrum of the boundary value problem
\[
y''+p_1(x)y'+(\lambda^2 p_{20}(x)+\lambda p_{21}(x)+p_{22}(x))y=0,\; 0<x<1,
\]
\[ y'(0)-hy(0)=y'(1)+Hy(1)=0. \]
\[ y'(0)-hy(0)=y'(1)+Hy(1)=0. \]
Reviewer: Vjacheslav Yurko (Saratov)
MSC:
| 34A55 | Inverse problems involving ordinary differential equations |
| 34L05 | General spectral theory of ordinary differential operators |
| 47E05 | General theory of ordinary differential operators |
