S. Torba

activity

20062025

most citedRepresentation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions

52 citations · 535 across the 39 of their papers we have counts for

collaborators

Showing 2014 · math.CAShow all

3 papers · 2 filters

math.CA2014★ 19 cited

Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems

Vladislav V. Kravchenko, Samy Morelos, Sergii M. Torba

A method for solving spectral problems for the Sturm-Liouville equation $(p v^{'})^{'} - q v + λ r v = 0$ based on the approximation of the Delsarte transmutation operators combine…

math.CA2014★ 15 cited

Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications

Vladislav V. Kravchenko, Sergii M. Torba

Spectral parameter power series (SPPS) representations for solutions of Sturm-Liouville equations proved to be an efficient practical tool for solving corresponding spectral and sc…

math.CA2014★ 14 cited

Spectral parameter power series for polynomial pencils of Sturm-Liouville operators and Zakharov-Shabat systems

Vladislav V. Kravchenko, Sergii M. Torba, Ulises Velasco-Garcia

A spectral parameter power series (SPPS) representation for solutions of Sturm-Liouville equations of the form $(p u^{'})^{'} + q u = u k = 1 \sum N λ^{k} r_{k}$ is obtained. It allows one to…