24 citations · 40 across the 3 of their papers we have counts for
4 papers
A method for computation of scattering amplitudes and Green functions of whole axis problems
Raúl Castillo-Pérez, Vladislav V. Kravchenko, Sergii M. Torba
A method for the computation of scattering data and of the Green function for the one-dimensional Schrödinger operator with a decaying potential is pres…
A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations
Vladislav V. Kravchenko, Sergii M. Torba, Raúl Castillo-Pérez
A new representation for a regular solution of the perturbed Bessel equation of the form is obtained. The solution is represent…
Analysis of graded-index optical fibers by the spectral parameter power series method
Raul Castillo Perez, Vladislav V. Kravchenko, Sergii M. Torba
Spectral parameter power series (SPPS) method is a recently introduced technique for solving linear differential equations and related spectral problems. In the present work we dev…
Spectral parameter power series for perturbed Bessel equations
Raul Castillo Perez, Vladislav V. Kravchenko, Sergii M. Torba
A spectral parameter power series (SPPS) representation for regular solutions of singular Bessel type Sturm-Liouville equations with complex coefficients is obtained as well as an…