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Non-Self-Adjoint Boundary Eigenvalue Problems: Volume 192 by R. Mennicken, M. Moeller (Hardcover, 2003)

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This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and -th order ordinary differential equations. In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every -th order differential equation is equivalent to a first order system, the main techniques are developed for systems. Asymptotic fundamental systems are derived for a large class of systems of differential equations. Together with boundary conditions, which may depend polynomially on the eigenvalue parameter, this leads to the definition of Birkhoff and Stone regular eigenvalue problems. An effort is made to make the conditions relatively easy verifiable; this is illustrated with several applications in chapter 10.The contour integral method and estimates of the resolvent are used to prove expansion theorems. For Stone regular problems, not all functions are expandable, and again relatively easy verifiable conditions are given, in terms of auxiliary boundary conditions, for functions to be expandable. Chapter 10 deals exclusively with applications; in nine sections, various concrete problems such as the Orr-Sommerfeld equation, control of multiple beams, and an example from meteorology are investigated. Key features: * Expansion Theorems for Ordinary Differential Equations * Discusses Applications to Problems from Physics and Engineering * Thorough Investigation of Asymptotic Fundamental Matrices and Systems * Provides a Comprehensive Treatment * Uses the Contour Integral Method * Represents the Problems as Bounded Operators * Investigates Canonical Systems of Eigen- and Associated Vectors for Operator Functions

Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-13
9780444514479
eBay Product ID (ePID)
94756516

Product Key Features

Author
R. Mennicken, M. Moeller
Publication Name
Non-Self-Adjoint Boundary Eigenvalue Problems: Volume 192
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2003
Type
Textbook
Number of Pages
518 Pages

Dimensions

Item Weight
900g

Additional Product Features

Title_Author
M. Moeller, R. Mennicken
Series Title
North-Holland Mathematics Studies
Country/Region of Manufacture
United States

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Non-Self-Adjoint Boundary Eigenvalue Problems: Volume 192 by R. Mennicken, M. Moeller (Hardcover, 2003)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Australian Guidebook for Structural Engineers by Lonnie Pack (Paperback, 2019)

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Time Management by Peter Quarry (Paperback, 1986)

The Ethnic Cleansing of Palestine by Ilan Pappe (Paperback, 2007)

Save on Adult Learning & University

The Australian Native Bee Hive Book: Keeping Stingless Sugarbag OATH Tim Heard

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

The Indoctrinated Brain: How to Successfully Fend Off the Global Attack on Your

Tuning the A-Series Engine: the Definitive Manual on tuning for Performance or E

Classical Mechanics: The Theoretical Minimum by George Hrabovsky

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