Home Multiparameter Eigenvalue Problems: Sturm-Liouville Theory by F. V. Atkinson; Angelo B. Mingarelli (ISBN: 9781439816226)

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Multiparameter Eigenvalue Problems: Sturm-Liouville Theory Hardcover - 2010 - 1st Edition

Name: Multiparameter Eigenvalue Problems: Sturm-Liouville Theory
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Author: F.V. Atkinson, Angelo B. Mingarelli
ISBN: 9781439816226

by F. V. Atkinson; Angelo B. Mingarelli

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From the publisher

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 Problems: 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.

Details

Title Multiparameter Eigenvalue Problems: Sturm-Liouville Theory
Author F. V. Atkinson; Angelo B. Mingarelli
Binding Hardcover
Edition number 1st
Edition 1
Pages 302
Volumes 1
Language ENG
Publisher CRC Press
Date 2010-12-07
Features Bibliography, Index
ISBN 9781439816226 / 1439816220
Weight 1.32 lbs (0.60 kg)
Dimensions 9.21 x 6.14 x 0.69 in (23.39 x 15.60 x 1.75 cm)
Themes
- Aspects (Academic): Science/Technology Aspects
Library of Congress subjects Eigenvalues, Sturm-Liouville equation
Library of Congress Catalog Number 2010038203
Dewey Decimal Code 512.943

Media reviews

Citations

Reference and Research Bk News, 04/01/2011, Page 285

About the author

F.V. Atkinson was a professor emeritus of mathematics at the University of Toronto. A Fellow of the Royal Society of Canada and an Honorary Fellow of the Royal Society of Edinburgh, Dr. Atkinson was awarded the Makdougall-Brisbane Prize of the Royal Society of Edinburgh for his enduring paper on limit-n criteria of integral type. He published more than 100 papers on subjects ranging from the theory of the Riemann zeta function to operator theory. He earned his Ph.D. from the University of Oxford, under the guidance of E.C. Titchmarsh.

Angelo B. Mingarelli is a professor of mathematics at Carleton University. He previously taught at the Pennsylvania State University and the University of Ottawa. Dr. Mingarelli has been an NSERC University Research Fellow for many years and has won numerous awards for excellence in teaching. He earned his Ph.D. from the University of Toronto, under the supervision of F.V. Atkinson.

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Multiparameter Eigenvalue Problems: Sturm-Liouville Theory

by F.V. Atkinson, Angelo B. Mingarelli

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ISBN 10 / ISBN 13

9781439816226 / 1439816220

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CRC Press, December 2010. Hardcover. Very Good. used hardcover copy in illustrated boards, no jacket, as issued. light shelfwear, corners perhaps slightly bumped. pages and binding are clean, straight and tight. there are no marks to the text or other serious flaws.