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Author : Richard S. Palais
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.0/5 ( download)
Download or read book Foundations of Global Non-linear Analysis written by Richard S. Palais and published by . This book was released on 1966 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Themistocles M. Rassias
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (44 download)
Download or read book Foundations of Global Nonlinear Analysis written by Themistocles M. Rassias and published by . This book was released on 1986 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Themistocles M Rassias
Publisher : World Scientific
ISBN 13 : 9814513652
Total Pages : 571 pages
Book Rating : 4.8/5 (145 download)
Download or read book Nonlinear Analysis written by Themistocles M Rassias and published by World Scientific. This book was released on 1988-01-01 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Fixed Point Theory and Nonlinear Problems (Th Rassias)Global Linearization Iterative Methods and Nonlinear Partial Differential Equations III (M Altman)On Generalized Power Series and Generalized Operational Calculus and Its Application (M Al-Bassam)Multiple Solutions to Parametrized Nonlinear Differential Systems from Nielsen Fixed Point Theory (R Brown)The topology of Ind-Affine Sets (P Cherenack)Almost Approximately Polynomial Functions (P Cholewa)Cohomology Classes and Foliated Manifolds (M Craioveanu & M Puta)Bifurcation and Nonlinear Instability in Applied Mathematics (L Debnath)The Stability of Weakly Additive Functional (H Drljevic)Index Theory for G-Bundle Pairs with Applications to Borsuk-Ulam Type Theorems for G-Sphere Bundles (E Fadell & S Husseini)Nonlinear Approximation and Moment Problem (J S Hwang & G D Lin)Periods in Equicontinuous Topological Dynamical Systems (A Iwanik et al.)Continuation Theorems for Semi-Linear Equations in Banach Spaces: A Survey (J Mawhin & K Rybakowski)On Contractifiable Self-Mappings (P Meyers)Normal Structures and Nonexpansive Mappings in Banach Spaces (J Nelson et al.): Survey on Uniqueness and Classification Theorems for Minimal Surfaces (Th Rassias)Contractive Definitions (B Rhoades)On KY Fan's Theorem and Its Applications (S Singh)Fixed Points of Amenable Semigroups of Differentiable Operators (P Soardi)Research Problems on Nonlinear Equations (Th Rassias) Readership: Mathematicians and applied scientists. Keywords:Nonlinear Analysis;Nonlinear Partial Differential Equations III;Polynomial Functions;Cohomology Classes;Foliated Manifolds;Topological Dynamical Systems;Minimal Surfaces;Differentiable Operators;Nonlinear Equations
Author : Richard S. Palais
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.F/5 ( download)
Download or read book Foundations of Global Non-linear Analysis written by Richard S. Palais and published by . This book was released on 1968 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard S. Palais
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.3/5 (91 download)
Download or read book Foundations of Global Analysis written by Richard S. Palais and published by . This book was released on 1966 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 3662035391
Total Pages : 442 pages
Book Rating : 4.6/5 (62 download)
Download or read book Optima and Equilibria written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses.
Author : Vagn Lundsgaard Hansen
Publisher : World Scientific
ISBN 13 : 9811209421
Total Pages : 303 pages
Book Rating : 4.8/5 (112 download)
Download or read book Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis (Second Edition) written by Vagn Lundsgaard Hansen and published by World Scientific. This book was released on 2019-11-07 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many applied mathematical disciplines, such as dynamical systems and optimization theory as well as classical mathematical disciplines like differential geometry and the theory of Lie groups, have a common foundation in general topology and multivariate calculus in normed vector spaces. In this book, students from both pure and applied subjects are offered an opportunity to work seriously with fundamental notions from mathematical analysis that are important not only from a mathematical point of view but also occur frequently in the theoretical parts of, for example, the engineering sciences. The book provides complete proofs of the basic results from topology and differentiability of mappings in normed vector spaces. It is a useful resource for students and researchers in mathematics and the many sciences that depend on fundamental techniques from mathematical analysis.In this second edition, the notions of compactness and sequentially compactness are developed with independent proofs for the main results. Thereby the material on compactness is apt for direct applications also in functional analysis, where the notion of sequentially compactness prevails. This edition also covers a new section on partial derivatives, and new material has been incorporated to make a more complete account of higher order derivatives in Banach spaces, including full proofs for symmetry of higher order derivatives and Taylor's formula. The exercise material has been reorganized from a collection of problem sets at the end of the book to a section at the end of each chapter with further results. Readers will find numerous new exercises at different levels of difficulty for practice.
Author : Jürgen Eichhorn
Publisher : Nova Publishers
ISBN 13 : 9781600215636
Total Pages : 664 pages
Book Rating : 4.2/5 (156 download)
Download or read book Global Analysis on Open Manifolds written by Jürgen Eichhorn and published by Nova Publishers. This book was released on 2007 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global analysis is the analysis on manifolds. Since the middle of the sixties there exists a highly elaborated setting if the underlying manifold is compact, evidence of which can be found in index theory, spectral geometry, the theory of harmonic maps, many applications to mathematical physics on closed manifolds like gauge theory, Seiberg-Witten theory, etc. If the underlying manifold is open, i.e. non-compact and without boundary, then most of the foundations and of the great achievements fail. Elliptic operators are no longer Fredholm, the analytical and topological indexes are not defined, the spectrum of self-adjoint elliptic operators is no longer discrete, functional spaces strongly depend on the operators involved and the data from geometry, many embedding and module structure theorems do not hold, manifolds of maps are not defined, etc. It is the goal of this new book to provide serious foundations for global analysis on open manifolds, to discuss the difficulties and special features which come from the openness and to establish many results and applications on this basis.
Author : Michele Matzeu
Publisher : Springer Science & Business Media
ISBN 13 : 1461225701
Total Pages : 542 pages
Book Rating : 4.4/5 (612 download)
Download or read book Topological Nonlinear Analysis written by Michele Matzeu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological tools in Nonlinear Analysis had a tremendous develop ment during the last few decades. The three main streams of research in this field, Topological Degree, Singularity Theory and Variational Meth ods, have lately become impetuous rivers of scientific investigation. The process is still going on and the achievements in this area are spectacular. A most promising and rapidly developing field of research is the study of the role that symmetries play in nonlinear problems. Symmetries appear in a quite natural way in many problems in physics and in differential or symplectic geometry, such as closed orbits for autonomous Hamiltonian systems, configurations of symmetric elastic plates under pressure, Hopf Bifurcation, Taylor vortices, convective motions of fluids, oscillations of chemical reactions, etc . . . Some of these problems have been tackled recently by different techniques using equivariant versions of Degree, Singularity and Variations. The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in Nonlinear Analysis during the last two-three decades. The survey articles presented here reflect the personal taste and points of view of the authors (all of them well-known and distinguished specialists in their own fields) on the subject matter. A common feature of these papers is that of start ing with an historical introductory background of the different disciplines under consideration and climbing up to the heights of the most recent re sults.
Author : Jerrold E. Marsden
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (319 download)
Download or read book Applications of Global Analysis in Mathematical Physics written by Jerrold E. Marsden and published by . This book was released on 1974 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Nicolis
Publisher : World Scientific
ISBN 13 : 9812700439
Total Pages : 343 pages
Book Rating : 4.8/5 (127 download)
Download or read book Foundations of Complex Systems written by G. Nicolis and published by World Scientific. This book was released on 2007 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.
Author : Mark Aleksandrovich Krasnoselʹskiĭ
Publisher : Springer
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (44 download)
Download or read book Geometrical Methods of Nonlinear Analysis written by Mark Aleksandrovich Krasnoselʹskiĭ and published by Springer. This book was released on 1984 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in existence proofs. Since about the fifties, these methods turned out to be essentially the sole approach to a variety of new problems: the investigation of iteration processes and other procedures in numerical analysis, in bifur cation problems and branching of solutions, estimates on the number of solutions and criteria for the existence of nonzero solutions, the analysis of the structure of the solution set, etc. These methods have been widely applied to the theory of forced vibrations and auto-oscillations, to various problems in the theory of elasticity and fluid. mechanics, to control theory, theoretical physics, and various parts of mathematics. At present, nonlinear analysis along with its geometrical, topological, analytical, variational, and other methods is developing tremendously thanks to research work in many countries. Totally new ideas have been advanced, difficult problems have been solved, and new applications have been indicated. To enumerate the publications of the last few years one would need dozens of pages. On the other hand, many problems of non linear analysis are still far from a solution (problems arising from the internal development of mathematics and, in particular, problems arising in the process of interpreting new problems in the natural sciences). We hope that the English edition of our book will contribute to the further propagation of the ideas of nonlinear analysis.
Download or read book Topological Nonlinear Analysis written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Melvyn Stuart Berger
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.F/5 ( download)
Download or read book Perspectives in Nonlinearity written by Melvyn Stuart Berger and published by . This book was released on 1968 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures given at the University of Minnesota and the Courant Institute of Mathematical Sciences, New York University, in 1966 and 1967. Our aim has been to present some qualitative aspects of nonlinear analysis, which we think are important, in as simple and direct a manner as possible. Thus we have neither striven for results of the utmost generality nor complicated the text by introducing an excess number of new concepts. In this way we hope to make the ideas presented accessible to persons who enjoy mathematics and its applications but are not specialists in nonlinear analysis. To accomplish this goal in a small book we have had to sketch the ideas of a few proofs and to specialize the general theory of nonlinear analysis on finite and infinite dimensional differentiable manifolds. The interested reader will find this theory discussed in the monographs, Lectures on Nonlinear Functional Analysis by J. T. Schwartz, and Foundations of Global Nonlinear Analysis by R. S. Palais. Furthermore, our choice of material was necessarily selective, for example, iterative results such as Newton's method and Nash's implicit function theorem have been omitted. Nonetheless we believe that the material discussed here has sufficient beauty to induce the reader to further excursions into nonlinear analysis. Our text is divided into four chapters and two appendices. Chapter 1 is intended to be a partial answer to the question: What are some of the problems of nonlinear analysis and how have they been studied in previous generations? Chapter 2 introduces the concepts of the degree of a continuous mapping, and the theory of critical points of real-valued functions in finite dimensional Euclidean spaces Rn . In Chapter 3 we show how the ideas of Chapter 2 can be carried over to infinite dimensional spaces. Appendices 1 and 2 at the end of the book include some preliminary material necessary to the understanding of Chapters 2 and 1. In Chapter 4 we select a few specific nonlinear problems and indicate just how the methods of the previous chapters can be used to study these problems. The first-mentioned problem in Chapter 4, global univalence, is of great interest outside of mathematics (for example, to mathematical economists in the study of international trade and to applied mathematicians studying elastic deformations). Similarly the topics of differential equations (ordinary and partial) discussed in Chapter 4 are basic to the understanding of physical processes of nature.
Author : Nihon Sūgakkai
Publisher : MIT Press
ISBN 13 : 9780262590204
Total Pages : 1180 pages
Book Rating : 4.5/5 (92 download)
Download or read book Encyclopedic Dictionary of Mathematics written by Nihon Sūgakkai and published by MIT Press. This book was released on 1993 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A.N. v.2. O.Z. Apendices and indexes.
Author :
Publisher :
ISBN 13 : 9783764337421
Total Pages : pages
Book Rating : 4.3/5 (374 download)
Download or read book Topological Nonlinear Analysis written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giuseppe Butazzo
Publisher : Springer Science & Business Media
ISBN 13 : 146122196X
Total Pages : 149 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Analysis and Continuum Mechanics written by Giuseppe Butazzo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.
