Fixed Points And Topological Degree In Nonlinear Analysis PDF Download
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Author | : Jane Cronin |
Publisher | : American Mathematical Soc. |
Total Pages | : 212 |
Release | : 1995-01-05 |
Genre | : Fixed point theory |
ISBN | : 0821815113 |
Download Fixed points and topological degree in nonlinear analysis Book in PDF, ePub and Kindle
The topological methods based on fixed-point theory and on local topological degree which have been developed by Leray, Schauder, Nirenberg, Cesari and others for the study of nonlinear differential equations are here described in detail, beginning with elementary considerations. The reader is not assumed to have any knowledge of topology beyond the theory of point sets in Euclidean n-space which ordinarily forms part of a course in advanced calculus. The methods are first developed for Euclidean n-space and applied to the study of existence and stability of periodic and almost-periodic solutions of systems of ordinary differential equations, both quasi-linear and with ``large'' nonlinearities. Then, after being extended to infinite-dimensional ``function-spaces'', these methods are applied to integral equations, partial differential equations and further problems concerning periodic solutions of ordinary differential equations.
Author | : Michele Matzeu |
Publisher | : Birkhäuser |
Total Pages | : 605 |
Release | : 2011-10-29 |
Genre | : Mathematics |
ISBN | : 9781461241270 |
Download Topological Nonlinear Analysis II Book in PDF, ePub and Kindle
The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in nonlin ear analysis during the last three decades. It is intended, at least partly, as a continuation of Topological Nonlinear Analysis: Degree, Singularity and Varia tions, published in 1995. The survey articles presented are concerned with three main streams of research, that is topological degree, singularity theory and variational methods, They reflect the personal taste of the authors, all of them well known and distinguished specialists. A common feature of these articles is to start with a historical introduction and conclude with recent results, giving a dynamic picture of the state of the art on these topics. Let us mention the fact that most of the materials in this book were pre sented by the authors at the "Second Topological Analysis Workshop on Degree, Singularity and Variations: Developments of the Last 25 Years," held in June 1995 at Villa Tuscolana, Frascati, near Rome. Michele Matzeu Alfonso Vignoli Editors Topological Nonlinear Analysis II Degree, Singularity and Variations Classical Solutions for a Perturbed N-Body System Gianfausto Dell 'A ntonio O. Introduction In this review I shall consider the perturbed N-body system, i.e., a system composed of N point bodies of masses ml, ... mN, described in cartesian co ordinates by the system of equations (0.1) where f) V'k,m == -£l--' m = 1, 2, 3.
Author | : Michele Matzeu |
Publisher | : Springer Science & Business Media |
Total Pages | : 542 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461225701 |
Download Topological Nonlinear Analysis Book in PDF, ePub and Kindle
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 | : James Dugundji |
Publisher | : Pwn Polish Scientific Publishers |
Total Pages | : 218 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : |
Download Fixed Point Theory Book in PDF, ePub and Kindle
Author | : Yeol Je Cho |
Publisher | : CRC Press |
Total Pages | : 228 |
Release | : 2006-03-27 |
Genre | : Mathematics |
ISBN | : 1420011480 |
Download Topological Degree Theory and Applications Book in PDF, ePub and Kindle
Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its ap
Author | : Francois Bourliere |
Publisher | : |
Total Pages | : |
Release | : 1964 |
Genre | : |
ISBN | : |
Download Fixed Points and Topological Degree in Nonlinear Analysis Book in PDF, ePub and Kindle
Author | : Sankatha Prasad Singh |
Publisher | : American Mathematical Soc. |
Total Pages | : 226 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : 0821850237 |
Download Topological Methods in Nonlinear Functional Analysis Book in PDF, ePub and Kindle
Covers the proceedings of the session on Fixed Point Theory and Applications held at the University of Toronto, August 21-26, 1982. This work presents theorems on the existence of fixed points of nonexpansive mappings and the convergence of the sequence of iterates of nonexpansive and quasi-nonexpansive mappings.
Author | : Enayet U Tarafdar |
Publisher | : World Scientific |
Total Pages | : 627 |
Release | : 2008-02-22 |
Genre | : Mathematics |
ISBN | : 9814476218 |
Download Topological Methods For Set-valued Nonlinear Analysis Book in PDF, ePub and Kindle
This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Author | : Robert F. Brown |
Publisher | : Springer Science & Business Media |
Total Pages | : 181 |
Release | : 2011-06-27 |
Genre | : Mathematics |
ISBN | : 0817681248 |
Download A Topological Introduction to Nonlinear Analysis Book in PDF, ePub and Kindle
"The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory... reading is fluid and very pleasant... style is informal but far from being imprecise." -review of the first edition. New to this edition: additional applications of the theory and techniques, as well as several new proofs. This book is ideal for self-study for mathematicians and students interested in geometric and algebraic topology, functional analysis, differential equations, and applied mathematics.
Author | : |
Publisher | : |
Total Pages | : 360 |
Release | : 1993 |
Genre | : Nonlinear functional analysis |
ISBN | : |
Download Topological Methods in Nonlinear Analysis Book in PDF, ePub and Kindle