Multiparameter Eigenvalue Problems: Sturm-Liouville Theory

di F.V. Atkinson (Autore)

Angelo B. Mingarelli (Autore)

Taylor & Francis Ltd, 2019

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.

• Autore: F.V. Atkinson, Angelo B. Mingarelli
• Editore: Taylor & Francis Ltd
• Anno: 2019
• Rilegatura: Paperback / softback
• Pagine: 301 p.
• Dimensioni: 234 x 156 mm
• Peso: 453 gr.
• EAN: 9780367383220

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