By F.V. Atkinson,Angelo B. Mingarelli
One of the masters within the differential equations group, the overdue F.V. Atkinson contributed seminal learn to multiparameter spectral idea and Sturm-Liouville concept. His principles and methods have lengthy encouraged researchers and proceed to stimulate dialogue. With the aid of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue difficulties: Sturm-Liouville Theory displays a lot of Dr. Atkinson’s ultimate work.
After protecting commonplace multiparameter difficulties, the e-book investigates the stipulations for eigenvalues to be actual and shape a discrete set. It offers effects at the determinants of features, provides oscillation tools for Sturm-Liouville platforms and different multiparameter structures, and gives another method of multiparameter Sturm-Liouville difficulties relating to equations and parameters. as well as discussing the distribution of eigenvalues and limitless limit-points of the set of eigenvalues, the textual content makes a speciality of proofs of the completeness of the eigenfunctions of a multiparameter Sturm-Liouville challenge regarding finite periods. It additionally explores the limit-point, limit-circle class in addition to eigenfunction expansions.
A lasting tribute to Dr. Atkinson’s contributions that spanned greater than forty years, this ebook covers the entire multiparameter conception as utilized to second-order linear equations. It considers the spectral concept of multiparameter difficulties intimately for either typical and singular circumstances.
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Multiparameter Eigenvalue Problems: Sturm-Liouville Theory by F.V. Atkinson,Angelo B. Mingarelli