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Sturm-Liouville theory.


Sturm-Liouville theory.

Zettl, Anton.

Amer. Mathematical Society


328 pages



Mathematical surveys and monographs; v.121


Sturm and Liouville published a series of papers on second order linear ordinary differential equations including boundary value problem back in 1836-37, but the topic is still an area of intense activity today. This monograph is presented with the twin goals of providing a modern survey of the basic properties of the Sturm- Liouville equation and to introduce some aspects of recent research on Sturm-Liouville problems. Chapters cover first order systems, scalar initial value problems, two-point regular boundary value problems, regular self-adjoint problems, regular left-definite and indefinite problems, oscillation, the limit-point/limit-circle dichotomy, singular initial value problem, two-point singular boundary value problems, singular self-adjoint problems, singular indefinite problems, singular left-definite problems, and examples.

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Publication:SciTech Book News
Article Type:Book Review
Date:Dec 1, 2005
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