Linear And Nonlinear Functional Analysis With Applications

Author : Philippe G. Ciarlet
Publisher : SIAM
Page : 847 pages
File Size : 41,9 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 : 53,7 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 : Jacob T. Schwartz
Publisher : CRC Press
Page : 248 pages
File Size : 44,5 Mb
Release : 1969
Category : Mathematics
ISBN : 0677015003

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Nonlinear Functional Analysis by Jacob T. Schwartz Pdf

Author : S.P. Singh
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 41,5 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 : 54,7 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 : E. Zeidler
Publisher : Springer Science & Business Media
Page : 739 pages
File Size : 42,5 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 : Nikolaos S. Papageorgiou,Patrick Winkert
Publisher : Walter de Gruyter GmbH & Co KG
Page : 622 pages
File Size : 54,6 Mb
Release : 2018-08-06
Category : Mathematics
ISBN : 9783110532982

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

The aim of this book is to provide a concise but complete 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. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis.

Author : Julian Lopez-Gomez
Publisher : CRC Press
Page : 281 pages
File Size : 53,6 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 : Antonio Ambrosetti,David Arcoya Álvarez
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 52,9 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 : Louis B. Rall
Publisher : Unknown
Page : 586 pages
File Size : 50,6 Mb
Release : 1971
Category : Functional analysis
ISBN : LCCN:lc73152749

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Nonlinear Functional Analysis and Applications by Louis B. Rall Pdf

Author : Klaus Deimling
Publisher : Springer Science & Business Media
Page : 465 pages
File Size : 45,6 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 : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 540 pages
File Size : 52,7 Mb
Release : 1986
Category : Mathematics
ISBN : 9780821814710

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Nonlinear Functional Analysis and Its Applications by Felix E. Browder Pdf

Author : Klaus Deimling
Publisher : Courier Corporation
Page : 466 pages
File Size : 52,7 Mb
Release : 2013-10-09
Category : Mathematics
ISBN : 9780486132358

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Nonlinear Functional Analysis by Klaus Deimling Pdf

This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.

Author : S. Kesavan
Publisher : Springer
Page : 188 pages
File Size : 47,5 Mb
Release : 2004-01-15
Category : Mathematics
ISBN : 9789386279217

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Nonlinear Functional Analysis by S. Kesavan Pdf

Author : Eberhard Zeidler
Publisher : Springer Verlag
Page : 934 pages
File Size : 41,5 Mb
Release : 1985-12-13
Category : Mathematics
ISBN : UCSC:32106007189464

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Nonlinear Functional Analysis and Its Applications by Eberhard Zeidler Pdf

From the reviews: "...has a flowing, coherent form and contains nice comments, overviews, and perspectives on the strategy and implementations of the considered procedures, and is concluded with complementary problems. Moreover, at the end of each volume there is a comprehensive and up-to-date bibliography. The work is clearly written and organized so that each chapter can be independently approached." (Zentralblatt für Mathematik und ihre Grenzgebiete) "The book is in fact dedicated to a large area of applications. Mathematicians, engineers, and natural scientists will find many interesting results." (Acta Applicandae Mathematicae)