Sturm-Liouville Theory: Past and Present by Werner O. Amrein,Andreas M. Hinz,David B. Pearson

By Werner O. Amrein,Andreas M. Hinz,David B. Pearson

it is a selection of survey articles in accordance with lectures offered at a colloquium and workshop in Geneva in 2003 to commemorate the two hundredth anniversary of the start of Charles François Sturm. It goals at giving an outline of the advance of Sturm-Liouville conception from its historic roots to provide day learn. it's the first time that any such entire survey is made to be had in compact shape. The contributions come from the world over popular specialists and canopy a variety of advancements of the idea. The ebook can as a result serve either as an creation to Sturm-Liouville idea and as historical past for ongoing examine.
The textual content is especially robust at the spectral thought of Sturm-Liouville equations, which has given upward push to an important department of contemporary research. between different present elements of the speculation mentioned are oscillation conception for differential equations and Jacobi matrices, approximation of singular boundary price difficulties through ordinary ones, purposes to structures of differential equations, extension of the speculation to partial differential equations and to non-linear difficulties, and numerous generalizations of Borg's inverse conception. a special characteristic of the ebook is a accomplished catalogue of Sturm-Liouville differential equations overlaying greater than fifty examples, including their spectral homes. a lot of those examples are attached with precise features and with difficulties in mathematical physics and utilized mathematics.
The quantity is addressed to researchers in similar parts, to complicated scholars and to these drawn to the ancient improvement of arithmetic. The e-book can be of curiosity to these desirous about functions of the speculation to various parts comparable to engineering, fluid dynamics and computational spectral analysis.

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