5 papers
On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditions
A. M. Akhtyamov, A. V. Mouftakhov, M. Teicher +1
We consider an inverse spectral problem with the third-order differential equation and the non-separated boundary conditions. Two theorems on the uniqueness of the solution of this…
Can One Hear Fastening of a Rod?
A. M. Akhtyamov, A. V. Mouftakhov, M. Teicher +1
Rods are parts of various devices. If it is impossible to observe the rod directly, the only source of information about possible defects of its fastening can be the natural freque…
An analogue of Borg's uniqueness theorem in the case of indecomposable boundary conditions
Azamat M. Akhtyamov
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 fun…
A note on one inverse spectral problem
Azamat M. Akhtyamov
The note contains the proof of the uniqueness theorem for the inverse problem in the case of -th order differential equation.
On a new inverse spectral problem
Azamat M. Akhtyamov
The differential operators pencil recovery uniqueness theorem is proved in our article. Novelty of this result is not equation coefficient recovery, but boundary conditions coeffic…