9 citations · 15 across the 6 of their papers we have counts for
5 papers · 1 filter
On Ambarzumyan-type Inverse Problems of Vibrating String Equations
Yuri Ashrafyan, Dominik L. Michels
We consider the inverse spectral theory of vibrating string equations. In this regard, first eigenvalue Ambarzumyan-type uniqueness theorems are stated and proved subject to separa…
Inverse Sturm-Liouville problems with summable potential
Yuri Ashrafyan, Tigran Harutyunyan
We describe the necessary and sufficient conditions for two sequences {μ_n}^\infty_n=0 and {a_n}^\infty_n=0 to be correspondingly the set of eigenvalues and the set of norming cons…
A new kind of uniqueness theorems for inverse Sturm-Liouville problems
Yuri Ashrafyan
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyans theorem.
On a property of norming constants of Sturm-Liouville problem
Yuri Ashrafyan, Tigran Harutunyan
A connection, which shows the dependence of norming constants on boundary conditions, was found using the Gelfand-Levitan method for the solution of inverse Sturm-Liouville problem…
Isospectral Dirac operators
Yuri Ashrafyan, Tigran Harutyunyan
We give the description of self-adjoint regular Dirac operators, on , with the same spectra.