Multiparameter Eigenvalue Problems And Expansion Theorems
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Multiparameter Eigenvalue Problems And Expansion Theorems
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Author : Hans Volkmer
language : en
Publisher: Springer
Release Date : 2006-11-14
Multiparameter Eigenvalue Problems And Expansion Theorems written by Hans Volkmer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book provides a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. The results are first obtained in abstract Hilbert spaces and then applied to integral operators and differential operators. Special attention is paid to various definiteness conditions which can be imposed on multiparameter eigenvalue problems. The reader is not assumed to be familiar with multiparameter spectral theory but should have some knowledge of functional analysis, in particular of Brower's degree of maps.
Multiparameter Eigenvalue Problems
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Author : F.V. Atkinson
language : en
Publisher: CRC Press
Release Date : 2010-12-07
Multiparameter Eigenvalue Problems written by F.V. Atkinson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-07 with Mathematics categories.
One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Problem
Multiparameter Eigenvalue Problems
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Author : Atkinson
language : en
Publisher: Academic Press
Release Date : 1972-06-16
Multiparameter Eigenvalue Problems written by Atkinson and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-06-16 with Computers categories.
Multiparameter eigenvalue problems
Multiparameter Eigenvalue Problems
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Author : F. V. Atkinson
language : en
Publisher:
Release Date : 1972-01-01
Multiparameter Eigenvalue Problems written by F. V. Atkinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-01-01 with Eigenvalues categories.
Two Parameter Eigenvalue Problems In Ordinary Differential Equations
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Author : M. Faierman
language : en
Publisher: Chapman & Hall/CRC
Release Date : 1991
Two Parameter Eigenvalue Problems In Ordinary Differential Equations written by M. Faierman and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
The aim of this Research Note is to present a comprehensive treatment of some problems arising in the spectral theory of two-parameter systems involving ordinary differential equations. In particular, results are presented concerning the spectrum, the Eigenfunction expansion and the structure of the principal subspaces of a two-parameter system under various definiteness assumptions.
Multiparameter Eigenvalue Problems
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Author : F. V. Atkinson
language : en
Publisher:
Release Date : 1972
Multiparameter Eigenvalue Problems written by F. V. Atkinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Differential equations categories.
Non Self Adjoint Boundary Eigenvalue Problems
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Author : R. Mennicken
language : en
Publisher: Elsevier
Release Date : 2003-06-26
Non Self Adjoint Boundary Eigenvalue Problems written by R. Mennicken and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-26 with Mathematics categories.
This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-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 n-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
Spectral Theory And Differential Equations
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Author : W.N. Everitt
language : en
Publisher: Springer
Release Date : 2006-11-15
Spectral Theory And Differential Equations written by W.N. Everitt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Ordinary And Partial Differential Equations
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Author : W. N. Everitt
language : en
Publisher: Springer
Release Date : 2006-11-15
Ordinary And Partial Differential Equations written by W. N. Everitt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Recent Developments In Operator Theory And Its Applications
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Recent Developments In Operator Theory And Its Applications written by I. Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The papers selected for publication here, many of them written by leaders in the field, bring readers up to date on recent achievements in modern operator theory and applications. The book’s subject matter is of practical use to a wide audience in mathematical and engineering sciences.