Topological Methods For Set Valued Nonlinear Analysis PDF Download
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| Author | : Enayet Ullah Tarafdar |
| Publisher | : World Scientific |
| Total Pages | : 627 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9812704671 |
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 | : |
| Publisher | : |
| Total Pages | : 414 |
| Release | : 2008 |
| Genre | : Nonlinear functional analysis |
| ISBN | : |
Download Topological Methods in Nonlinear Analysis Book in PDF, ePub and Kindle
| Author | : Donal O'Regan |
| Publisher | : CRC Press |
| Total Pages | : 480 |
| Release | : 2002-09-26 |
| Genre | : Mathematics |
| ISBN | : 0203216490 |
Download Set Valued Mappings with Applications in Nonlinear Analysis Book in PDF, ePub and Kindle
Interest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in fields such as biology, control theory and optimization, economics, game theory, and physics. Set Valued Mappings with Applications to Nonlinear Analysis contains 29 research articles from leading mathematicians in this area. The contributors were invited to submit papers on topics such as integral inclusion, ordinary and partial differential inclusions, fixed point theorems, boundary value problems, and optimal control. This collection will be of interest to researchers in analysis and will pave the way for the creation of new mathematics in the future.
| Author | : Michele Matzeu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 609 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146124126X |
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 | : Kung Ching Chang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 462 |
| Release | : 2005-08-26 |
| Genre | : Mathematics |
| ISBN | : 9783540241331 |
Download Methods in Nonlinear Analysis Book in PDF, ePub and Kindle
This book offers a systematic presentation of up-to-date material scattered throughout the literature from the methodology point of view. It reviews the basic theories and methods, with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry.
| Author | : Simeon Reich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 529 |
| Release | : 2013-11-21 |
| Genre | : Mathematics |
| ISBN | : 1461495334 |
Download Genericity in Nonlinear Analysis Book in PDF, ePub and Kindle
This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences. Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry–Mather theory.
| Author | : Andrzej Granas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 531 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401103399 |
Download Topological Methods in Differential Equations and Inclusions Book in PDF, ePub and Kindle
The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations.
| Author | : Leszek Gasiński |
| Publisher | : Springer |
| Total Pages | : 1069 |
| Release | : 2016-05-03 |
| Genre | : Mathematics |
| ISBN | : 3319278177 |
Download Exercises in Analysis Book in PDF, ePub and Kindle
This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and results,followed by suitable comments and remarks for better understanding of the material. Exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.
| Author | : Kazimierz Gęba |
| Publisher | : |
| Total Pages | : 264 |
| Release | : 1996 |
| Genre | : Bifurcation theory |
| ISBN | : |
Download Topology in Nonlinear Analysis Book in PDF, ePub and Kindle
| Author | : Nicuşor Costea |
| Publisher | : Springer Nature |
| Total Pages | : 450 |
| Release | : 2021-09-20 |
| Genre | : Mathematics |
| ISBN | : 3030816710 |
Download Variational and Monotonicity Methods in Nonsmooth Analysis Book in PDF, ePub and Kindle
This book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, mathematical physics and contact mechanics. It includes recent achievements and puts them into the context of the existing literature. The volume is organized in four parts. Part I contains fundamental mathematical results concerning convex and locally Lipschits functions. Together with the Appendices, this foundational part establishes the self-contained character of the text. As the title suggests, in the following sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors employ these methods to handle the exemplary problems from game theory and engineering that are investigated in Part II, respectively Part III. Part IV is devoted to applications in contact mechanics. The book will be of interest to PhD students and researchers in applied mathematics as well as specialists working in nonsmooth analysis and engineering.
