Nonlinear Analysis

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A Primer Of Nonlinear Analysis

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Author : Antonio Ambrosetti
language : en
Publisher: Cambridge University Press
Release Date : 1995-03-09

A Primer Of Nonlinear Analysis written by Antonio Ambrosetti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-09 with Mathematics categories.

This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.

Applied Nonlinear Analysis

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Author : Jean-Pierre Aubin
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01

Applied Nonlinear Analysis written by Jean-Pierre Aubin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.

Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.

Topics In Nonlinear Analysis And Applications

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Author : George Isac
language : en
Publisher: World Scientific
Release Date : 1997-05-02

Topics In Nonlinear Analysis And Applications written by George Isac and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-02 with Mathematics categories.

This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.

Nonlinear Analysis In Chemical Engineering

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Author : Bruce A. Finlayson
language : en
Publisher: Bruce Alan Finlayson
Release Date : 1980

Nonlinear Analysis In Chemical Engineering written by Bruce A. Finlayson and has been published by Bruce Alan Finlayson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Nonlinear Analysis

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Author : Leszek Gasinski
language : en
Publisher: CRC Press
Release Date : 2005-07-27

Nonlinear Analysis written by Leszek Gasinski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-27 with Mathematics categories.

Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.

An Introduction To Nonlinear Analysis

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Author : Martin Schechter
language : en
Publisher: Cambridge University Press
Release Date : 2004

An Introduction To Nonlinear Analysis written by Martin Schechter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.

A Topological Introduction To Nonlinear Analysis

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Author : Robert F. Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

A Topological Introduction To Nonlinear Analysis written by Robert F. Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Nonlinear analysis is a remarkable mixture of topology, analysis and applied mathematics. Mathematicians have good reason to become acquainted with this important, rapidly developing subject. But it is a BIG subject. You can feel it: just hold Eberhard Zeidler's Nonlinear Functional Analysis and Its Applications I: Fixed Point Theorems [Z} in your hand. It's heavy, as a 900 page book must be. Yet this is no encyclopedia; the preface accurately describes the " ... very careful selection of material ... " it contains. And what you are holding is only Part I of a five-part work. So how do you get started learning nonlinear analysis? Zeidler's book has a first page, and some people are quite comfortable beginning right there. For an alternative, the bibliography in [Z], which is 42 pages long, contains exposition as well as research results: monographs that explain portions of the subject to a variety of audiences. In particular, [D} covers much of the material of Zeidler's book. What makes this book different? The answer is in three parts: this book is (i) topological (ii) goal-oriented and (iii) a model of its subject.

Methods In Nonlinear Analysis

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Author : Kung-Ching Chang
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-21

Methods In Nonlinear Analysis written by Kung-Ching Chang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-21 with Mathematics categories.

Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered throughout the literature from the methodology point of view, and presents them in a systematic way. It contains the basic theories and methods with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. There are five chapters that cover linearization, fixed-point theorems based on compactness and convexity, topological degree theory, minimization and topological variational methods. Each chapter combines abstract, classical and applied analysis. Particular topics included are bifurcation, perturbation, gluing technique, transversality, Nash–Moser technique, Ky Fan's inequality and equilibrium in game theory, setvalued mappings and differential equations with discontinuous nonlinear terms, multiple solutions in partial differential equations, direct method, quasiconvexity and relaxation, Young measure, compensation compactness method and Hardy space, concentration compactness and best constants, Ekeland variational principle, infinite-dimensional Morse theory, minimax method, index theory with group action, and Conley index theory. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry. The book aims to find a balance between theory and applications and will contribute to filling the gap between texts that either only study the abstract theory, or focus on some special equations.

Nonlinear Analysis

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Author : Themistocles M. Rassias
language : en
Publisher: World Scientific
Release Date : 1987

Nonlinear Analysis written by Themistocles M. Rassias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

http://www.worldscientific.com/worldscibooks/10.1142/0295

Methods Of Nonlinear Analysis

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Author : Bellman
language : en
Publisher: Academic Press
Release Date : 1973-05-25

Methods Of Nonlinear Analysis written by Bellman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-05-25 with Computers categories.

Methods of Nonlinear Analysis