Methods In Nonlinear Analysis
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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.
Methods Of Nonlinear Analysis
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Author : Richard Bellman
language : en
Publisher:
Release Date : 1973
Methods Of Nonlinear Analysis written by Richard Bellman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Differential equations, Nonlinear categories.
Methods In Nonlinear Analysis
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Author : Kung Ching Chang
language : en
Publisher: Springer
Release Date : 2009-09-02
Methods In Nonlinear Analysis written by Kung Ching Chang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.
This book offers a systematic presentation of up-to-date material scattered throughout the literature from the methodology point of view. It reviews 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. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry.
Geometrical Methods Of Nonlinear Analysis
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Author : Mark Aleksandrovich Krasnoselskii
language : de
Publisher:
Release Date : 1984
Geometrical Methods Of Nonlinear Analysis written by Mark Aleksandrovich Krasnoselskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Methods Of Nonlinear Analysis
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Author : Pavel Drabek
language : en
Publisher: Birkhäuser
Release Date : 2009-09-03
Methods Of Nonlinear Analysis written by Pavel Drabek and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-03 with Mathematics categories.
In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book.
Lyapunov Schmidt Methods In Nonlinear Analysis And Applications
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Author : Nikolay Sidorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10-31
Lyapunov Schmidt Methods In Nonlinear Analysis And Applications written by Nikolay Sidorov 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 2002-10-31 with Mathematics categories.
Recent theory and applications of the Lyapunov-Shmidt method are presented in this specialized volume of use to mathematicians, physicists, and engineers interested in nonlinear equations. The chapters describe the Lyapunov-Shmidt method and its use for obtaining branching solutions for nonlinear equations using iterative techniques, techniques for constructing regularizing equations, the use of power geometry methods, the theory of branching for interlaced equations, applications of ideas of symmetry in the theory of bifurcations, applications in differential operator equations, and applied problems of mathematical physics. The four authors are Russian mathematicians who teach at the Irkutsk State U and the Ulyanovsk State Technical U. in Russia and the National U. of Colombia in Bogota. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).
Computational Methods In Nonlinear Analysis
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Author : Ioannis K. Argyros
language : en
Publisher: World Scientific
Release Date : 2013
Computational Methods In Nonlinear Analysis written by Ioannis K. Argyros and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.
Variational Methods In Nonlinear Analysis
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Author : Dimitrios C. Kravvaritis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-04-06
Variational Methods In Nonlinear Analysis written by Dimitrios C. Kravvaritis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Mathematics categories.
This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
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
Methods Of Nonlinear Analysis
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Author : Richard E. Bellman
language : en
Publisher:
Release Date : 1970
Methods Of Nonlinear Analysis written by Richard E. Bellman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.