This book provides an introduction to the most recent developments in the theory and
practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A …

We consider two main inverse Sturm–Liouville problems: the problem of recovery of the
potential and the boundary conditions from two spectra or from a spectral density function. A …

This textbook provides a thorough overview of mathematical physics, highlighting classical
topics as well as recent developments. Readers will be introduced to a variety of methods …

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 …

The inverse spectral problem for the Sturm-Liouville equation in impedance form is
considered. A corresponding Gelfand-Levitan integral equation is derived. A Fourier …

In the previous chapter we saw that the Sturm-Liouville equation naturally arises when
solving partial differential equations by the Fourier method of separation of variables …

It is known, that there exist the continuous function P (x, t), which generates the
transmutation operator φ (x, λ)= sin λ x λ+∫ 0 x P (x, s) sin λ t λ dt,\displaystyle φ (x, λ)=\sin λ …

In this thesis, some new applications of the transmutation operator theory to the solution of
direct and inverse spectral problems for the Sturm-Liouville equation in impedance form …

The book presents a detailed exposition of classical topics of mathematical physics together
with recently developed methods. The exposition is kept accessible for undergraduate …

Este trabajo tiene como propósito estudiar y enriquecer la teorıa de los operadores de
transmutación en el contexto del problema de Sturm-Liouville. Tres principales núcleos de …