52 citations · 786 across the 59 of their papers we have counts for
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Recovery of a potential on a quantum star graph from Weyl's matrix
Sergei A. Avdonin, Kira V. Khmelnytskaya, Vladislav V. Kravchenko
The problem of recovery of a potential on a quantum star graph from Weyl's matrix given at a finite number of points is considered. A method for its approximate solution is propose…
Spectrum completion and inverse Sturm-Liouville problems
Vladislav V. Kravchenko
Given a finite set of eigenvalues of a regular Sturm-Liouville problem for the equation -y{\prime}{\prime}+q(x)y=λy, the potential q(x) of which is unknown. We show the possibility…
Method for solving inverse spectral problems on quantum star graphs
Sergei A. Avdonin, Vladislav V. Kravchenko
A new method for solving inverse spectral problems on quantum star graphs is proposed. The method is based on Neumann series of Bessel functions representations for solutions of St…
Realization of the inverse scattering transform method for the Korteweg-de Vries equation
Sergei M. Grudsky, Vladislav V. Kravchenko, Sergii M. Torba
A method for practical realization of the inverse scattering transform method for the Korteweg-de Vries equation is proposed. It is based on analytical representations for Jost sol…