Lecture Notes In Mathematics Number 346 Spectral Analysis Of Nonlinear Operators
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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.
Theory Of Nonlinear Operators
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Author : Reinhard Kluge
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1977-12-31
Theory Of Nonlinear Operators written by Reinhard Kluge 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 1977-12-31 with Mathematics categories.
No detailed description available for "Theory of Nonlinear Operators".
Methods Of Nonlinear Analysis
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Author : Pavel Drabek
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-28
Methods Of Nonlinear Analysis written by Pavel Drabek 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 2007-06-28 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.
Methods For Analysis Of Nonlinear Elliptic Boundary Value Problems
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Author : I. V. Skrypnik
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-01-01
Methods For Analysis Of Nonlinear Elliptic Boundary Value Problems written by I. V. Skrypnik and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
The theory of nonlinear elliptic equations is currently one of the most actively developing branches of the theory of partial differential equations. This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of nonlinear equations. Skrypnik establishes, by various procedures, a priori estimates and the regularity of solutions of nonlinear elliptic equations of arbitrary order. Also covered are methods of homogenization of nonlinear elliptic problems in perforated domains. The book is suitable for use in graduate courses in differential equations and nonlinear functional analysis.
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.
Nonlinear Analysis
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Author : Erich H. Rothe
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Nonlinear Analysis written by Erich H. Rothe and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Nonlinear Analysis: A Collection of Papers in Honor of Erich H. Rothe is a collection of papers in honor of Erich H. Rothe, a mathematician who has made significant contributions to various aspects of nonlinear functional analysis. Topics covered range from periodic solutions of semilinear parabolic equations to nonlinear problems across a point of resonance for non-self-adjoint systems. Nonlinear boundary value problems for ordinary differential equations are also considered. Comprised of 14 chapters, this volume first discusses the use of fixed-point theorems in ordered Banach spaces to prove existence and multiplicity result for periodic solutions of semilinear parabolic differential equations of the second order. The reader is then introduced to linear maximal monotone operators and singular nonlinear integral equations of Hammerstein type. Subsequent chapters focus on the branching of periodic solutions of non-autonomous systems; restricted generic bifurcation; Tikhonov regularization and nonlinear problems at resonance; and minimax theorems and their applications to nonlinear partial differential equations. This monograph will be of interest to students and practitioners in the field of mathematics.
Fredholm Theory In Banach Spaces
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Author : Anthony Francis Ruston
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-03
Fredholm Theory In Banach Spaces written by Anthony Francis Ruston 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 2004-06-03 with Mathematics categories.
Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.
Solvability Of Nonlinear Equations And Boundary Value Problems
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Author : Svatopluk Fucik
language : en
Publisher: Springer Science & Business Media
Release Date : 1981-02-28
Solvability Of Nonlinear Equations And Boundary Value Problems written by Svatopluk Fucik 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 1981-02-28 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.
Qualitative Analysis Of Nonlinear Elliptic Partial Differential Equations
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Author : Vicenţiu Rǎdulescu
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2008
Qualitative Analysis Of Nonlinear Elliptic Partial Differential Equations written by Vicenţiu Rǎdulescu and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Elliptic categories.
This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equations can be seen as nonlinear versions of the classical Laplace equation, and they appear as mathematical models in different branches of physics, chemistry, biology, genetics, and engineering and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on the calculus of variations and functional analysis. Concentrating on single-valued or multivalued elliptic equations with nonlinearities of various types, the aim of this volume is to obtain sharp existence or nonexistence results, as well as decay rates for general classes of solutions. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including bifurcation, stability, asymptotic analysis, and optimal regularity of solutions. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. A systematic description of the most relevant singular phenomena described in this volume includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear phenomena described by elliptic partial differential equations.