Transmutations, Singular and Fractional Differential Equations with Applications to
Mathematical Physics connects difficult problems with similar more simple ones. The book's …

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 …

The main content of this book is composed from two doctoral theses: by VV Katrakhov
(1989) and by SM Sitnik (2016). In our work, for the first time in the format of a monograph …

Основное содержание книги составлено из материалов двух докторских диссертаций:
ВВ Катрахова 1989 г. и СМ Ситника 2016 г. В книге впервые в формате монографии …

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 …

This paper presents a subdivision collocation algorithm for numerically solving the heat
conduction equation with non-uniform thermal diffusivity, considering both initial and …

We give an overview of some concepts related to the approximation of solutions of a strongly
elliptic operator. A definition of a complete system of classical solutions is given, and we …

This is a brief overview of some recent developments in the transmutation operator
approach to practical solution of mathematical physics problems. It introduces basic notions …

In this work, we develop the theory of hyperbolic equations with Bessel operators. We
construct and invert hyperbolic potentials generated by multidimensional generalized …

A numerical method for free boundary problems for the equation\[u_ {xx}-q (x) u= u_t\] is
proposed. The method is based on recent results from transmutation operators theory …