{"product_id":"multiparameter-eigenvalue-problems-f-v-atkinson-9780367383220","title":"Multiparameter Eigenvalue Problems: Sturm-Liouville Theory","description":"\u003cp\u003eOne 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, \u003cstrong\u003eMultiparameter Eigenvalue Problems: Sturm-Liouville Theory\u003c\/strong\u003e reflects much of Dr. Atkinson's final work.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eAfter 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eA 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. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e F. V. Atkinson, Angelo B. Mingarelli\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0367383225\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780367383220\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/05\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 301\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.95lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 6.20w x 0.70d","brand":"F. V. Atkinson","offers":[{"title":"Paperback","offer_id":43919597633791,"sku":"9780367383220","price":79.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_6546473f-9749-44dd-b48e-b34c9dabbfd0.jpg?v=1680810275","url":"https:\/\/www.whiterainbookhouse.com\/products\/multiparameter-eigenvalue-problems-f-v-atkinson-9780367383220","provider":"WR Book House","version":"1.0","type":"link"}