27 citations · 101 across the 47 of their papers we have counts for
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math.SP2015
Inverse scattering on the line for the matrix Sturm-Liouville equation
Natalia Bondarenko
The inverse scattering problem is studied for the matrix Sturm-Liouville equation on the line. Necessary and sufficient conditions for the scattering data are obtained.
math.SP2015★ 10 cited
Recovery of the matrix quadratic differential pencil from the spectral data
Natalia Bondarenko
We consider a pencil of matrix Sturm-Liouville operators on a finite interval. We study properties of its spectral characteristics and inverse problems that consist in recovering o…
math.SP2015
Partial inverse problems for Sturm-Liouville operators on trees
Natalia Bondarenko, Chung-Tsun Shieh
In this paper, inverse spectral problems for Sturm-Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, t…