Multiparameter Eigenvalue Problems - Sturm-Liouville Theory (Paperback)

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.

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Release date:	September 2019
First published:	2011
Authors:	F.V. Atkinson • Angelo B Mingarelli
Dimensions:	234 x 156 x 24mm (L x W x T)
Format:	Paperback
Pages:	301
ISBN-13:	978-0-367-38322-0
Categories:	Books > Science & Mathematics > Physics > General Books > Computing & IT > General theory of computing > General Books > Computing & IT > Applications of computing > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-367-38322-5
Barcode:	9780367383220

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