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Biljana Vojvodić

Publications and source records attributed to Biljana Vojvodić.

2 recordsLinked to original sources
arXiv2024

Inverse problem for Dirac operators with a small delay

This paper addresses inverse spectral problems associated with Dirac-type operators with a constant delay, specifically when this delay is less than one-third of the interval length. Our research focuses on eigenvalue behavior and operator recovery from spectra. We find that two spectra alone are insufficient to fully recover the potentials. Additionally, we consider the Ambarzumian-type inverse problem for Dirac-type operators with a delay. Our results have significant implications for the study of inverse problems related to the differential operators with a constant delay and may inform future research directions in this field.

math.SP↗
arXiv2023

On recovering Dirac operators with two delays

We study the inverse spectral problems of recovering Dirac-type functional-differential operator with two constant delays $a_1$ and $a_2$ not less than one-third of the interval. It has been proved that the operator can be recovered uniquely from four spectra under the condition $2a_1+\frac{a_2}{2}\geq π$, while it is not possible otherwise.

math.SP↗