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Author : Jacob T. Schwartz
Publisher : CRC Press
ISBN 13 : 9780677015002
Total Pages : 248 pages
Book Rating : 4.0/5 (15 download)
Download or read book Nonlinear Functional Analysis written by Jacob T. Schwartz and published by CRC Press. This book was released on 1969 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Deimling
Publisher : Springer Science & Business Media
ISBN 13 : 3662005476
Total Pages : 465 pages
Book Rating : 4.6/5 (62 download)
Download or read book Nonlinear Functional Analysis written by Klaus Deimling and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ยง 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 : S.P. Singh
Publisher : Springer Science & Business Media
ISBN 13 : 9400946325
Total Pages : 408 pages
Book Rating : 4.4/5 (9 download)
Download or read book Nonlinear Functional Analysis and Its Applications written by S.P. Singh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Philippe G. Ciarlet
Publisher : SIAM
ISBN 13 : 1611972590
Total Pages : 832 pages
Book Rating : 4.6/5 (119 download)
Download or read book Linear and Nonlinear Functional Analysis with Applications written by Philippe G. Ciarlet and published by SIAM. This book was released on 2013-10-10 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mohan C. Joshi
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (44 download)
Download or read book Some Topics in Nonlinear Functional Analysis written by Mohan C. Joshi and published by John Wiley & Sons. This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Radu Precup
Publisher : MDPI
ISBN 13 : 3036502408
Total Pages : 146 pages
Book Rating : 4.0/5 (365 download)
Download or read book Nonlinear Functional Analysis and Its Applications written by Radu Precup and published by MDPI. This book was released on 2021-04-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : P. S. Milojevic
Publisher : CRC Press
ISBN 13 : 1482276917
Total Pages : 288 pages
Book Rating : 4.4/5 (822 download)
Download or read book Nonlinear Functional Analysis written by P. S. Milojevic and published by CRC Press. This book was released on 1989-09-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the lectures presented at the Special Session on Nonlinear Functional Analysis of the American Mathematical Society Regional Meeting, held at New Jersey Institute of Technology. It explores global invertibility and finite solvability of nonlinear differential equations.
Author : E. Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 1461209811
Total Pages : 739 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Functional Analysis and its Applications written by E. Zeidler and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : L. Nirenberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821828193
Total Pages : 159 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Nonlinear Functional Analysis written by L. Nirenberg and published by American Mathematical Soc.. This book was released on 2001 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Nikolaos S. Papageorgiou
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111288323
Total Pages : 1003 pages
Book Rating : 4.1/5 (112 download)
Download or read book Applied Nonlinear Functional Analysis written by Nikolaos S. Papageorgiou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-01 with total page 1003 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : S. Kesavan
Publisher : Springer Nature
ISBN 13 : 9811663475
Total Pages : 161 pages
Book Rating : 4.8/5 (116 download)
Download or read book Nonlinear Functional Analysis: A First Course written by S. Kesavan and published by Springer Nature. This book was released on 2022-06-04 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk's theorem, and bifurcation theory along with their applications have been discussed. Several solved examples and exercises have been carefully selected and included in the present edition. The prerequisite for following this book is the basic knowledge of functional analysis and topology.
Author : Louis B. Rall
Publisher : Elsevier
ISBN 13 : 1483272443
Total Pages : 595 pages
Book Rating : 4.4/5 (832 download)
Download or read book Nonlinear Functional Analysis and Applications written by Louis B. Rall and published by Elsevier. This book was released on 2014-05-10 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Yoav Benyamini
Publisher : American Mathematical Soc.
ISBN 13 : 0821808354
Total Pages : 503 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Nonlinear Functional Analysis written by Yoav Benyamini and published by American Mathematical Soc.. This book was released on 2000 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach spaces and of their important subsets in the uniform and Lipschitz categories.
Author : Rajendra Akerkar
Publisher : Alpha Science International, Limited
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.E/5 ( download)
Download or read book Nonlinear Functional Analysis written by Rajendra Akerkar and published by Alpha Science International, Limited. This book was released on 1999 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title presents background for the solution of non-linear equations in Banach spaces. It contains basic techniques in non-linear analysis and also touches upon today's research. The book deals with topics, such as measures on non-compactness, topological degree, and bifurcation theory.
Author : Michel Chipot
Publisher : Springer Science & Business Media
ISBN 13 : 9783764364069
Total Pages : 268 pages
Book Rating : 4.3/5 (64 download)
Download or read book Elements of Nonlinear Analysis written by Michel Chipot and published by Springer Science & Business Media. This book was released on 2000-11-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass[es] many methods of dynamical systems in quite simple and original settings. I recommend this book to anyone interested in the main and essential concepts of nonlinear analysis as well as the relevant methodologies and applications." --MATHEMATICAL REVIEWS
Author : E. Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 1461245664
Total Pages : 1007 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Functional Analysis and its Applications written by E. Zeidler and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 1007 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Maxim Olegovich Korpusov
Publisher : World Scientific
ISBN 13 : 981124894X
Total Pages : 377 pages
Book Rating : 4.8/5 (112 download)
Download or read book Lectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University written by Maxim Olegovich Korpusov and published by World Scientific. This book was released on 2021-12-28 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of the study of nonlinear differential equations based on the facts of nonlinear analysis are presented in detail. This book may serve as an introductory textbook for students and undergraduates specializing in modern mathematical physics.
