A note on one inverse spectral problem
The note contains the proof of the uniqueness theorem for the inverse problem in the case of $n$-th order differential equation.
math.SP↗
arXiv subjects
Azamat M. Akhtyamov
Publications and source records attributed to Azamat M. Akhtyamov.
An analogue of Borg's uniqueness theorem in the case of indecomposable boundary conditions
An uniqueness theorem for the inverse problem in the case of a second-order equation defined on the interval [0,1] when the boundary forms contain combinations of the values of functions at the points 0 and 1 is proved. The auxiliary eigenvalue problems in our theorem are chose in the same manner as in Borg's uniqueness theorem are not as in that of Sadovni\v ci$\check \imath $'s. So number of conditions in our theorem is less than that in Sadovni\v ci$\check\imath$'s.
math.SP↗
On a new inverse spectral problem
The differential operators pencil recovery uniqueness theorem is proved in our article. Novelty of this result is not equation coefficient recovery, but boundary conditions coefficients recovery. We show that all conditions of the theorem are essential. We also give some interesting examples.
math.SP↗