{"product_id":"multiparameter-eigenvalue-problems-hardback","title":"Multiparameter Eigenvalue Problems - Hardback","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\u003cp\u003e\u003c\/p\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\u003cp\u003e\u003c\/p\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","brand":"Taylor \u0026 Francis","offers":[{"title":"Default Title","offer_id":45599710216430,"sku":"9781439816226","price":294.4,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9781439816226.jpg?v=1721456778","url":"https:\/\/bookland.com.au\/products\/multiparameter-eigenvalue-problems-hardback","provider":"Book Land AU","version":"1.0","type":"link"}