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Theory Of Nonlinear Operators

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Variational Method And Method Of Monotone Operators In The Theory Of Nonlinear Equations

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Author : Mordukhaĭ Moiseevich Vaĭnberg
language : en
Publisher: John Wiley & Sons
Release Date : 1974

Variational Method And Method Of Monotone Operators In The Theory Of Nonlinear Equations written by Mordukhaĭ Moiseevich Vaĭnberg and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.

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.

Theory Of Nonlinear Operators

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Author :
language : de
Publisher:
Release Date : 1972

Theory Of Nonlinear Operators written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.

Theory And Applications Of Nonlinear Operators Of Accretive And Monotone Type

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Author : Athanass Kartsatos
language : en
Publisher: CRC Press
Release Date : 1996-03-14

Theory And Applications Of Nonlinear Operators Of Accretive And Monotone Type written by Athanass Kartsatos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-14 with Mathematics categories.

This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.

Nonlinear Operator Theory In Probablistic Metric Spaces

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Author : Shih-sen Chang
language : en
Publisher: Nova Publishers
Release Date : 2001

Nonlinear Operator Theory In Probablistic Metric Spaces written by Shih-sen Chang and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

The purpose of this book is to give a comprehensive introduction to the study of non-linear operator theory in probabilistic metric spaces. This book is introduced as a survey of the latest and new results on the following topics: Basic theory of probabilistic metric spaces; Fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces; Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric spaces; Coincidence point theorems, minimisation and fixed degree theorems in probabilistic metric spaces; Probabilistic contractors, accretive mappings and topological degree in probabilistic normed spaces; Nonlinear semigroups and differential equations in probabilistic metric spaces; KKM theorems, minimax theorems and variational inequalities.

A Unified Theory Of Nonlinear Operator And Evolution Equations With Applications

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Author : Mieczyslaw Altman
language : en
Publisher:
Release Date : 1986

A Unified Theory Of Nonlinear Operator And Evolution Equations With Applications written by Mieczyslaw Altman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.