6 papers
Uniform stability of the inverse Sturm-Liouville problem on a star-shaped graph
E. E. Chitorkin, N. P. Bondarenko
In this paper, we study the inverse spectral problem for the Sturm-Liouville operators on a star-shaped graph, which consists in the recovery of the potentials from specral data or…
Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition
N. P. Bondarenko, E. E. Chitorkin
This paper deals with the Sturm-Liouville problem with singular potential of the Sobolev space and polynomials of the spectral parameter in a boundary condition. We prov…
Inverse Sturm-Liouville problem with singular potential and spectral parameter in the boundary conditions
E. E. Chitorkin, N. P. Bondarenko
This paper deals with the Sturm-Liouville problem that feature distribution potential, polynomial dependence on the spectral parameter in the first boundary condition, and analytic…
Inverse Sturm-Liouville problem with polynomials in the boundary condition and multiple eigenvalues
Egor E. Chitorkin, Natalia P. Bondarennko
In this paper, the inverse Sturm-Liouville problem with distribution potential and with polynomials of the spectral parameter in one of the boundary conditions is considered. We fo…
Local solvability and stability for the inverse Sturm-Liouville problem with polynomials in the boundary conditions
Egor E. Chitorkin, Natalia P. Bondarenko
In this paper, we for the first time prove local solvability and stability of the inverse Sturm-Liouville problem with complex-valued singular potential and with polynomials of the…
Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions
Egor E. Chitorkin, Natalia P. Bondarenko
In this paper, we for the first time get constructive solution for the inverse Sturm-Liouville problem with complex-valued singular potential and with polynomials of the spectral p…