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