27 citations · 101 across the 47 of their papers we have counts for
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Inverse problems of recovering first-order integro-differential operators from spectra
Natalia Bondarenko, Vjacheslav Yurko
Inverse spectral problems are studied for first-order integro-differential operators on a finite interval. These problems consist in recovering some components of the kernel from o…
Spectral data asymptotics for the matrix Sturm-Liouville operator
Natalia P. Bondarenko
The self-adjoint matrix Sturm-Liouville operator on a finite interval with a boundary condition in the general form is studied. We obtain asymptotic formulas for the eigenvalues an…
Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity
Chuan-Fu Yang, Natalia P. Bondarenko
Partial inverse problems are studied for Sturm-Liouville operators with a discontinuity. The main results of the paper are local solvability and stability of the considered inverse…
Reconstruction and Solvability for Discontinuous Hochstadt-Lieberman Problems
Chuan-Fu Yang, Natalia Bondarenko
We consider Sturm-Liouville problems with a discontinuity in an interior point, which are motivated by the inverse problems for the torsional modes of the Earth. We assume that the…