Multiparameter Eigenvalue Problems : Matrices & Compact Operators (Volume 1) (Mathematics in Science and Engineering Ser.)

Atkinson, F. V.

ISBN 10: 0120658011 / ISBN 13: 9780120658015

Published by Academic Press, Incorporated, New York, 1972

About this Item

Previous owner's name in ink, Near Fine in Very Good Dust Jacket. Seller Inventory # 011388

Bibliographic Details

Title: Multiparameter Eigenvalue Problems : ...

Publisher: Academic Press, Incorporated, New York

Publication Date: 1972

Binding: Hardcover

Condition: Very Good

Edition: First Edition.

About this title

Synopsis:

One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Sturm-Liouville Theory reflects much of Dr. Atkinson's final work.After covering standard multiparameter problems, the book investigates the conditions for eigenvalues to be real and form a discrete set. It gives results on the determinants of functions, presents oscillation methods for Sturm-Liouville systems and other multiparameter systems, and offers an alternative approach to multiparameter Sturm-Liouville problems in the case of two equations and two parameters. In addition to discussing the distribution of eigenvalues and infinite limit-points of the set of eigenvalues, the text focuses on proofs of the completeness of the eigenfunctions of a multiparameter Sturm-Liouville problem involving finite intervals. It also explores the limit-point, limit-circle classification as well as eigenfunction expansions.A lasting tribute to Dr. Atkinson's contributions that spanned more than 40 years, this book covers the full multiparameter theory as applied to second-order linear equations. It considers the spectral theory of multiparameter problems in detail for both regular and singular cases.