Spectral Analysis Of Differential Operators: Interplay Between Spectral And Oscillatory Properties

by Fedor S Rofe-beketov, Aleksandr M Kholkin, Ognjen Milatovic

Overview

This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals).The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators.

Product Details

ISBN-13:	9789812562760
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	08/29/2005
Series:	World Scientific Monograph Series In Mathematics , #7
Pages:	464
Product dimensions:	6.20(w) x 9.00(h) x 1.20(d)