Nebojvsa Djuri'c

most citedInverse problems for Dirac operators with constant delay: uniqueness, characterization, uniform stability

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math.SP2022★ 2 cited

Inverse problems for Dirac operators with constant delay: uniqueness, characterization, uniform stability

Sergey Buterin, Nebojša Djurić

We initiate studying inverse spectral problems for Dirac-type functional-differential operators with constant delay. For simplicity, we restrict ourselves to the case when the dela…

math.SP2021

Iso-bispectral potentials for Sturm-Liouville-type operators with small delay

Nebojša Djurić, Sergey Buterin

In recent years, there appeared a considerable interest in the inverse spectral theory for functional-differential operators with constant delay. In particular, it is well known th…

math.SP2021

On non-uniqueness of recovering Sturm-Liouville operators with delay and the Neumann boundary condition at zero

Nebojša Djurić, Sergey Buterin

As is known, for each fixed $ν \in {0, 1},$ the spectra of two operators generated by $- y^{''} (x) + q (x) y (x - a)$ and the boundary conditions $y^{(ν)} (0) = y^{(j)} (π) = 0,$ $j = 0, 1,$ uniquely d…