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20022023
most citedAn approach to chaotic synchronization

178 citations

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9 papers · 1 filter

math.SP202215 cited

Reconstruction of higher-order differential operators by their spectral data

Natalia P. Bondarenko

This paper is concerned with inverse spectral problems for higher-order () ordinary differential operators. We develop an approach to the reconstruction from the spectral da…

math.SP20204 cited

An inverse spectral problem for second-order functional-differential pencils with two delays

S. A. Buterin, M. A. Malyugina, C. -T. Shieh

We consider a second order functional-differential pencil with two constant delays of the argument and study the inverse problem of recovering its coefficients from the spectra of…

math.SP202021 cited

On a regularization approach to the inverse transmission eigenvalue problem

S. A. Buterin, A. E. Choque-Rivero, M. A. Kuznetsova

We consider the irregular (in the Birkhoff and even the Stone sense) transmission eigenvalue problem of the form The main…

math.SP20191 cited

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…

math.SP20171 cited

A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph

Natalia Bondarenko

The Sturm-Liouville operator on a star-shaped graph is considered. We assume that the potential is known a priori on all the edges except one, and study the partial inverse problem…

math.SP20151 cited

Recovering Dirac Operator with Nonlocal Boundary Conditions

Chuan-Fu Yang, Vjacheslav Yurko

In this paper inverse problems for Dirac operator with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function and spectra are provi…