Recent Developments in Sturm-Liouville Theory

Description

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 Contents Part I: One-interval problems 1 Classical regular self-adjoint problems 2 Periodic coefficients 3 Extensions of the classical problem 4 Finite spectrum 5 Inverse Sturm–Liouville problems with finite spectrum 6 Eigenvalues below the essential spectrum 7 Spectral parameter in the boundary conditions Part II: Two-interval problems 8 Discontinuous boundary conditions 9 The Green’s and characteristic functions 10 The Legendre equation and its operators A Notation B Open problems Bibliography Index