an:06285556
Zbl 1302.34030
Nabiev, Ibrahim M.
Determination of the diffusion operator on an interval
EN
Colloq. Math. 134, No. 2, 165-178 (2014).
00331737
2014
j
34A55 34B24 47E05
differential operators; inverse spectral problems
The inverse spectral problem is studied for the differential equation
\[
y''+(\lambda^2-2\lambda p(x)-q(x))y=0,\; x\in (0,\pi),
\]
with the boundary conditions
\[
y(\pi)=e^{it}y(0),\; y'(\pi)=e^{it}y'(0).
\]
Sufficient conditions for the solvability of the inverse problem are provided along with an algorithm for the solution.
Vjacheslav Yurko (Saratov)