Nonlinear Functional Analysis And Applications

Author : Philippe G. Ciarlet
Publisher : SIAM
Page : 847 pages
File Size : 43,9 Mb
Release : 2013-10-10
Category : Mathematics
ISBN : 9781611972580

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Linear and Nonlinear Functional Analysis with Applications by Philippe G. Ciarlet Pdf

This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.

Author : Louis B. Rall
Publisher : Elsevier
Page : 594 pages
File Size : 53,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483272443

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Nonlinear Functional Analysis and Applications by Louis B. Rall Pdf

Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.

Author : Antonio Ambrosetti,David Arcoya Álvarez
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 46,7 Mb
Release : 2011-07-19
Category : Mathematics
ISBN : 9780817681142

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An Introduction to Nonlinear Functional Analysis and Elliptic Problems by Antonio Ambrosetti,David Arcoya Álvarez Pdf

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.

Author : L. Nirenberg,Ralph A. Artino
Publisher : American Mathematical Soc.
Page : 159 pages
File Size : 44,6 Mb
Release : 2001
Category : Differential equations, Nonlinear
ISBN : 9780821828199

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Topics in Nonlinear Functional Analysis by L. Nirenberg,Ralph A. Artino Pdf

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

Author : Eberhard Zeidler
Publisher : Unknown
Page : 662 pages
File Size : 51,8 Mb
Release : 1985
Category : Mathematics
ISBN : 354090915X

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Nonlinear Functional Analysis and its Application III. by Eberhard Zeidler Pdf

The fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.

Author : S.P. Singh
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400946323

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Nonlinear Functional Analysis and Its Applications by S.P. Singh Pdf

A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee.

Author : Radu Precup
Publisher : MDPI
Page : 146 pages
File Size : 45,6 Mb
Release : 2021-04-14
Category : Mathematics
ISBN : 9783036502403

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Nonlinear Functional Analysis and Its Applications by Radu Precup Pdf

This book consists of nine papers covering a number of basic ideas, concepts, and methods of nonlinear analysis, as well as some current research problems. Thus, the reader is introduced to the fascinating theory around Brouwer's fixed point theorem, to Granas' theory of topological transversality, and to some advanced techniques of critical point theory and fixed point theory. Other topics include discontinuous differential equations, new results of metric fixed point theory, robust tracker design problems for various classes of nonlinear systems, and periodic solutions in computer virus propagation models.

Author : S. Kesavan
Publisher : Springer
Page : 188 pages
File Size : 48,8 Mb
Release : 2004-01-15
Category : Mathematics
ISBN : 9789386279217

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Nonlinear Functional Analysis by S. Kesavan Pdf

Author : Jacob T. Schwartz
Publisher : CRC Press
Page : 248 pages
File Size : 41,5 Mb
Release : 1969
Category : Mathematics
ISBN : 0677015003

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Nonlinear Functional Analysis by Jacob T. Schwartz Pdf

Author : E. Zeidler
Publisher : Springer Science & Business Media
Page : 739 pages
File Size : 43,9 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461209812

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Nonlinear Functional Analysis and its Applications by E. Zeidler Pdf

This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.

Author : E. Zeidler
Publisher : Springer
Page : 0 pages
File Size : 55,9 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 1461289262

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Nonlinear Functional Analysis and its Applications by E. Zeidler Pdf

The fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.

Author : Louis B. Rall
Publisher : Unknown
Page : 586 pages
File Size : 49,7 Mb
Release : 1971
Category : Functional analysis
ISBN : LCCN:lc73152749

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Nonlinear Functional Analysis and Applications by Louis B. Rall Pdf

Author : Julian Lopez-Gomez
Publisher : CRC Press
Page : 281 pages
File Size : 45,7 Mb
Release : 2001-03-28
Category : Mathematics
ISBN : 9781420035506

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Spectral Theory and Nonlinear Functional Analysis by Julian Lopez-Gomez Pdf

This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.

Author : Klaus Deimling
Publisher : Springer Science & Business Media
Page : 465 pages
File Size : 51,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783662005477

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Nonlinear Functional Analysis by Klaus Deimling Pdf

topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods.

Author : Nikolaos S. Papageorgiou,Patrick Winkert
Publisher : Walter de Gruyter GmbH & Co KG
Page : 1003 pages
File Size : 55,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9783111288321

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Applied Nonlinear Functional Analysis by Nikolaos S. Papageorgiou,Patrick Winkert Pdf

The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.