research
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06/02/2022
Realization of the inverse scattering transform method for the Korteweg-de Vries equation
A method for practical realization of the inverse scattering transform m...
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01/22/2021
A practical method for recovering Sturm-Liouville problems from the Weyl function
In the paper we propose a direct method for recovering the Sturm-Liouvil...
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10/28/2020
A direct method for solving inverse Sturm-Liouville problems
We consider two main inverse Sturm-Liouville problems: the problem of re...
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08/11/2020
A Neumann series of Bessel functions representation for solutions of the radial Dirac system
A new representation for a regular solution of the radial Dirac system o...
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07/26/2020
A transmutation operator method for solving the inverse quantum scattering problem
The inverse quantum scattering problem for the perturbed Bessel equation...
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06/08/2020
Analytic approximation of transmutation operators for one-dimensional stationary Dirac operators and applications to solution of initial value and spectral problems
A method for approximate solution of initial value and spectral problems...
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05/21/2020