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20102026
most citedOn recovering Sturm-Liouville operators with frozen argument from the spectrum

27 citations · 101 across the 47 of their papers we have counts for

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Showing 2020Show all

7 papers · 1 filter

math.SP2020

Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph

Natalia P. Bondarenko

The inverse spectral problems are studied for the Sturm-Liouville operator on the star-shaped graph and for the matrix Sturm-Liouville operator with the boundary condition in the g…

math.SP2020

Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential

Natalia P. Bondarenko

The matrix Sturm-Liouville operator on a finite interval with singular potential of class and the general self-adjoint boundary conditions is studied. This operator gene…

math.SP2020

Direct and inverse problems for the matrix Sturm-Liouville operator with the general self-adjoint boundary conditions

Natalia P. Bondarenko

The matrix Sturm-Liouville operator on a finite interval with the boundary conditions in the general self-adjoint form and with the singular potential from the class is…

math.SP2020

Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method

Natalia P. Bondarenko

An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class is solved by the method of spectral mappings. We prove the uniquene…

math.SP2020

Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator

Natalia Bondarenko

An inverse spectral problem is studied for the matrix Sturm-Liouville operator on a finite interval with the general self-adjoint boundary condition. We obtain a constructive solut…

math.SP2020★ 2 cited

Inverse Sturm-Liouville problem with analytical functions in the boundary condition

Natalia Bondarenko

The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions. We obtain…

math.SP2020

Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator

Natalia P. Bondarenko

We consider the non-self-adjoint Sturm-Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenva…