Spectral parameter power series for fourth-order Sturm-Liouville problems. - Kira V. Khmelnytskaya; Vladislav V. Kravchenko; Jesús A. Baldenebro-Obeso (Appl. Math. Comput., 2012)

Spectral parameter power series for perturbed Bessel equations. - Raúl Castillo-Pérez; Vladislav V. Kravchenko; Sergii M. Torba (Appl. Math. Comput., 2013)

Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. - Vladislav V. Kravchenko; Sergii M. Torba (Appl. Math. Comput., 2014)

Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. - Vladislav V. Kravchenko; Sergii M. Torba (J. Comput. Appl. Math., 2015)

Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems. - Vladislav V. Kravchenko; Samy Morelos; Sergii M. Torba (Appl. Math. Comput., 2016)

Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. - Vladislav V. Kravchenko; Luis J. Navarro; Sergii M. Torba (Appl. Math. Comput., 2017)

Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions. - Vladislav V. Kravchenko (Appl. Math. Comput., 2018)

A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications. - Kira V. Khmelnytskaya; Vladislav V. Kravchenko; Sergii M. Torba (Appl. Math. Comput., 2019)

An improved Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. - Vladislav V. Kravchenko; Sergii M. Torba (CoRR, 2020)

A transmutation operator method for solving the inverse quantum scattering problem. - Vladislav V. Kravchenko; Elina L. Shishkina; Sergii M. Torba (CoRR, 2020)

A Neumann series of Bessel functions representation for solutions of the radial Dirac system. - Vladislav V. Kravchenko; Elina L. Shishkina; Sergii M. Torba (CoRR, 2020)

A direct method for solving inverse Sturm-Liouville problems. - Vladislav V. Kravchenko; Sergii M. Torba (CoRR, 2020)

A practical method for recovering Sturm-Liouville problems from the Weyl function. - Vladislav V. Kravchenko; Sergii M. Torba (CoRR, 2021)

Realization of the inverse scattering transform method for the Korteweg-de Vries equation. - Sergei M. Grudsky; Vladislav V. Kravchenko; Sergii M. Torba (CoRR, 2022)

Reconstruction techniques for quantum trees. - Sergei A. Avdonin; Kira V. Khmelnytskaya; Vladislav V. Kravchenko (CoRR, 2023)

Reconstruction techniques for complex potentials. - Vladislav V. Kravchenko (CoRR, 2023)

Recovery of the rod cross section shape. - Vladislav V. Kravchenko; Sergii M. Torba; Alexander O. Vatulyan (CoRR, 2025)

Reconstruction techniques for inverse Sturm-Liouville problems with complex coefficients. - Vladislav V. Kravchenko (CoRR, 2025)

Approximate direct and inverse scattering for the AKNS system. - Vladislav V. Kravchenko (CoRR, 2025)

Neumann series of Bessel functions in direct and inverse spherically symmetric transmission eigenvalue problems. - Vladislav V. Kravchenko; L. Estefania Murcia-Lozano; Nikolaos Pallikarakis (CoRR, 2025)