16 citations · 17 across the 6 of their papers we have counts for
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Approximate direct and inverse scattering for the AKNS system
Vladislav V. Kravchenko
We study the direct and inverse scattering problems for the AKNS (Ablowitz-Kaup-Newell-Segur) system. New representations for the Jost solutions are obtained in the form of the pow…
Reconstruction techniques for inverse Sturm-Liouville problems with complex coefficients
Vladislav V. Kravchenko
A variety of inverse Sturm-Liouville problems is considered, including the two-spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as…
Sinc method in spectrum completion and inverse Sturm-Liouville problems
Vladislav V. Kravchenko, L. Estefania Murcia-Lozano
Cardinal series representations for solutions of the Sturm-Liouville equation , with a complex valued potential are obtained, by using the cor…
Complete systems of recursive integrals and Taylor series for solutions of Sturm-Liouville equations
Vladislav V. Kravchenko, Samy Morelos, Sébastien Tremblay
Consider an arbitrary complex-valued, twice continuously differentiable, nonvanishing function defined on a finite segment . Let us introduce an infini…