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Multiparameter Eigenvalue Problems: Sturm-Liouville Theory F.V. Atkinson 1st edition
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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 | Books Hardcover Book (Book with hard spine and cover) |
| Released | December 7, 2010 |
| ISBN13 | 9781439816226 |
| Publishers | Taylor & Francis Inc |
| Pages | 302 |
| Dimensions | 156 × 234 × 18 mm · 544 g |
| Language | English |
