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Mathematical Surveys and Monographs: Sturm-Liouville Theory by Anton Zettl (2012, Trade Paperback)

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STURM-LIOUVILLE THEORY (MATHEMATICAL SURVEYS AND MONOGRAPHS) By Anton Zettl **BRAND NEW**.

About this product

Product Identifiers

PublisherAmerican Mathematical Society

ISBN-100821852671

ISBN-139780821852675

eBay Product ID (ePID)128734198

Product Key Features

Number of Pages328 Pages

LanguageEnglish

Publication NameSturm-Liouville Theory

Publication Year2012

SubjectGeneral

TypeTextbook

AuthorAnton Zettl

Subject AreaMathematics, Education

SeriesMathematical Surveys and Monographs

FormatTrade Paperback

Dimensions

Item Height0.7 in

Item Weight21.5 Oz

Item Length10 in

Item Width6.9 in

Additional Product Features

Intended AudienceScholarly & Professional

Dewey Edition22

Series Volume Number121

Dewey Decimal515/.35

Table Of ContentPart 1. Existence and uniqueness problems: First order systems; Scalar initial value problems; Part 2. Regular boundary value problems: Two-point regular boundary value problems; Regular self-adjoint problems; Regular left-definite and indefinite problems; Part 3. Oscillation and singular existence problems: Oscillation; The limit-point, limit-circle dichotomy; Singular initial value problems; Part 4. Singular boundary value problems: Two-point singular boundary value problems; Singular self-adjoint problems; Singular indefinite problems; Singular left-definite problems; Part 5. Examples and other topics: Two intervals; Examples; Notation; Comments on some topics not covered; Open problems; Bibliography; Index.

SynopsisIn 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. This provides a modern survey of some of the basic properties of Sturm-Liouville theory, and brings the reader to the forefront of knowledge about some aspects of this theory. An extensive list of references and examples is provided and numerous open problems are given., In 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. In 1910 Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of knowledge about some aspects of this theory. To use the book, only a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory are assumed. An extensive list of references and examples is provided and numerous open problems are given. The list of examples includes those classical equations and functions associated with the names of Bessel, Fourier, Heun, Ince, Jacobi, Jorgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, Morse, as well as examples associated with the harmonic oscillator and the hydrogen atom. Many special functions of applied mathematics and mathematical physics occur in these examples.