Multiparameter Eigenvalue Problems: Sturm-Liouville Theory by F.V. Atkinson,Angelo B. Mingarelli

By F.V. Atkinson,Angelo B. Mingarelli

One of the masters within the differential equations neighborhood, the overdue F.V. Atkinson contributed seminal study to multiparameter spectral conception and Sturm-Liouville idea. His rules 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 masking commonplace multiparameter difficulties, the booklet investigates the stipulations for eigenvalues to be genuine and shape a discrete set. It supplies effects at the determinants of capabilities, provides oscillation tools for Sturm-Liouville structures and different multiparameter platforms, and provides an alternate method of multiparameter Sturm-Liouville difficulties with regards to equations and parameters. as well as discussing the distribution of eigenvalues and limitless limit-points of the set of eigenvalues, the textual content specializes in proofs of the completeness of the eigenfunctions of a multiparameter Sturm-Liouville challenge concerning finite periods. It additionally explores the limit-point, limit-circle category in addition to eigenfunction expansions.

A lasting tribute to Dr. Atkinson’s contributions that spanned greater than forty years, this publication covers the whole multiparameter idea as utilized to second-order linear equations. It considers the spectral conception of multiparameter difficulties intimately for either ordinary and singular situations.

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