[dead] Sturm-Liouville Theory

Sturm-Liouville Theory
CRC PRESS | 2010 | ISBN: 1439816220 | 301 pages | PDF | 6.72MB
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.

Link:
http://uploading.com/files/m676em3c/Sturm.Liouville.Theory.pdf
http://depositfiles.com/files/3fnqdik7o/Sturm.Liouville.Theory.pdf
http://www.fileserve.com/file/GrGwkUd/Sturm.Liouville.Theory.pdf