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Multiparameter Eigenvalue Problems: Sturm-Liouville Theory
F.V. Atkinson
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.
301 pages
| Media | Boeken Paperback Book (Boek met zachte kaft en gelijmde rug) |
| Vrijgegeven | 5 september 2019 |
| ISBN13 | 9780367383220 |
| Uitgevers | Taylor & Francis Ltd |
| Pagina's | 301 |
| Afmetingen | 233 × 155 × 24 mm · 480 g |
| Taal en grammatica | Engels |
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