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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