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 …

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 …

A representation in the form of spectral parameter power series (SPPS) is given for a
general solution of a one dimension Dirac system containing arbitrary matrix coefficient at …

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 …

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

A new representation for solutions of linear higher order ordinary differential equations with
a spectral parameter is obtained in terms of Neumann series of Bessel functions. The result …

We will consider the second-order linear ordinary differential equation− y′′+ q (x) y= λ
y\displaystyle-y^ ′ ′+ q (x) y= λ y on a finite or infinite interval. This equation is called the …

This book presents recent results on applications of the transmutation (transformation)
operator method to practical solution of direct and inverse Sturm–Liouville problems on finite …

In this thesis a Neumann series of Bessel functions representation (NSBF representation) is
constructed, for regular solutions of ordinary linear differential equations of order n, n & 2 …