De Gruyter, 2021. — 262 p.
This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory. For example, some special Sturm-Liouville eigenvalue problems are equivalent to certain Jacobi and cyclic Jacobi matrix eigenvalue problems. A new approach to problems with periodic conditions is developed.
First monograph in the topic
Well written well regarded researcher
Introduction
One-interval problems
Classical regular self-adjoint problems
Periodic coefficients
Extensions of the classical problem
Finite spectrum
Inverse Sturm–Liouville problems with finite spectrum
Eigenvalues below the essential spectrum
Spectral parameter in the boundary conditions
Two-interval problems
Discontinuous boundary conditions
The Green’s and characteristic functions
The Legendre equation and its operators
Notation
Open problems
Bibliography
Index