Spectral Analysis Of Nonlinear Operators

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Spectral Analysis Of Nonlinear Operators

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Author : Svatopluk Fučík
language : en
Publisher: Springer
Release Date : 1973-01-01

Spectral Analysis Of Nonlinear Operators written by Svatopluk Fučík and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Boundary value problems categories.

Spectral Analysis Of Nonlinear Operators

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Author : S. Fucik
language : en
Publisher:
Release Date : 2014-01-15

Spectral Analysis Of Nonlinear Operators written by S. Fucik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Spectral Analysis Of Nonlinear Operators

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Author : S. Fucik
language : en
Publisher: Springer
Release Date : 2006-11-15

Spectral Analysis Of Nonlinear Operators written by S. Fucik 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.

Spectral Analysis Of Nonlinear Operators

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Author : Svatopluk Fucik
language : en
Publisher:
Release Date : 1973

Spectral Analysis Of Nonlinear Operators written by Svatopluk Fucik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Nonlinear operators categories.

Spectral Analysis Of Nonlinear Operators

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Author : Svatopluk Fulk
language : de
Publisher:
Release Date : 1973

Spectral Analysis Of Nonlinear Operators written by Svatopluk Fulk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.

Nonlinear Spectral Theory

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Author : Jürgen Appell
language : en
Publisher: Walter de Gruyter
Release Date : 2004

Nonlinear Spectral Theory written by Jürgen Appell and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

In view of the eminent importance of spectral theory of linear operators in many fields of mathematics and physics, it is not surprising that various attempts have been made to define and study spectra also for nonlinear operators. This book provides a comprehensive and self-contained treatment of the theory, methods, and applications of nonlinear spectral theory. The first chapter briefly recalls the definition and properties of the spectrum and several subspectra for bounded linear operators. Then some numerical characteristics for nonlinear operators are introduced which are useful for describing those classes of operators for which there exists a spectral theory. Since spectral values are closely related to solvability results for operator equations, various conditions for the local or global invertibility of a nonlinear operator are collected in the third chapter. The following two chapters are concerned with spectra for certain classes of continuous, Lipschitz continuous, or differentiable operators. These spectra, however, simply adapt the corresponding definitions from the linear theory which somehow restricts their applicability. Other spectra which are defined in a completely different way, but seem to have useful applications, are defined and studied in the following four chapters. The remaining three chapters are more application-oriented and deal with nonlinear eigenvalue problems, numerical ranges, and selected applications to nonlinear problems. The only prerequisite for understanding this book is a modest background in functional analysis and operator theory. It is addressed to non-specialists who want to get an idea of the development of spectral theory for nonlinear operators in the last 30 years, as well as a glimpse of the diversity of the directions in which current research is moving.

Nonlinear Spectral Theory

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Author : Jürgen Appell
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22

Nonlinear Spectral Theory written by Jürgen Appell and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.

In view of the eminent importance of spectral theory of linear operators in many fields of mathematics and physics, it is not surprising that various attempts have been made to define and study spectra also for nonlinear operators. This book provides a comprehensive and self-contained treatment of the theory, methods, and applications of nonlinear spectral theory. The first chapter briefly recalls the definition and properties of the spectrum and several subspectra for bounded linear operators. Then some numerical characteristics for nonlinear operators are introduced which are useful for describing those classes of operators for which there exists a spectral theory. Since spectral values are closely related to solvability results for operator equations, various conditions for the local or global invertibility of a nonlinear operator are collected in the third chapter. The following two chapters are concerned with spectra for certain classes of continuous, Lipschitz continuous, or differentiable operators. These spectra, however, simply adapt the corresponding definitions from the linear theory which somehow restricts their applicability. Other spectra which are defined in a completely different way, but seem to have useful applications, are defined and studied in the following four chapters. The remaining three chapters are more application-oriented and deal with nonlinear eigenvalue problems, numerical ranges, and selected applications to nonlinear problems. The only prerequisite for understanding this book is a modest background in functional analysis and operator theory. It is addressed to non-specialists who want to get an idea of the development of spectral theory for nonlinear operators in the last 30 years, as well as a glimpse of the diversity of the directions in which current research is moving.

Lecture Notes In Mathematics Number 346 Spectral Analysis Of Nonlinear Operators

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Author : SVATOPLUK. FUCIK
language : en
Publisher:
Release Date : 1973

Lecture Notes In Mathematics Number 346 Spectral Analysis Of Nonlinear Operators written by SVATOPLUK. FUCIK and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.

Spectral Analysis Of Differential Operators

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Author : Fedor S. Rofe-Beketov
language : en
Publisher: World Scientific
Release Date : 2005

Spectral Analysis Of Differential Operators written by Fedor S. Rofe-Beketov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic SchrAdinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators."

Numerical Analysis Of Spectral Methods

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Author : David Gottlieb
language : en
Publisher: SIAM
Release Date : 1977-01-01

Numerical Analysis Of Spectral Methods written by David Gottlieb and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-01 with Technology & Engineering categories.

A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.