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 …

In the paper we propose a direct method for recovering the Sturm–Liouville potential from
the Weyl–Titchmarsh m-function given on a countable set of points. We show that using the …

We establish a series representation of the Hill discriminant based on the spectral parameter
power series (SPPS) recently introduced by Kravchenko. We also show the invariance of the …

Given a regular nonvanishing complex valued solution y0 of the equation, x∈(a, b), assume
that it is n times differentiable at a point x0∈[a, b]. We present explicit formulas for …

This work addresses the analysis of an isotropic planarly layered waveguide consisting of
an inhomogeneous core that is enclosed between two homogeneous layers forming the …

In this paper, we present an inner-outer iterative method for two inverse Sturm–Liouville
problems known as the symmetric and the two-spectra problems, aimed to achieve a …

A method for studying the one‐dimensional heat transfer process within an inhomogeneous
spatially bounded medium in the presence of an external heat source is presented. It is …

0′+ qu0= 0. The convenient form of the solution of SLP provides an efficient numerical
method for solving corresponding initial value, boundary value, and spectral problems. A …

Professor Vladislav V. Kravchenko, a Senior Researcher in the Department of Mathematics,
Center for Research and Advanced Studies of the National Polytechnic Institute (Centro de …