Genericity In Nonlinear Analysis

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Genericity in Nonlinear Analysis

Simeon Reich,Alexander J. Zaslavski
Genericity in Nonlinear Analysis Book PDF

Author : Simeon Reich,Alexander J. Zaslavski
Publisher : Springer Science & Business Media
Page : 529 pages
File Size : 47,8 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461495338

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Genericity in Nonlinear Analysis by Simeon Reich,Alexander J. Zaslavski Pdf

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.

KKM Theory and Applications in Nonlinear Analysis

George Xian-Zhi Yuan
KKM Theory and Applications in Nonlinear Analysis Book PDF

Author : George Xian-Zhi Yuan
Publisher : CRC Press
Page : 648 pages
File Size : 45,7 Mb
Release : 1999-02-09
Category : Mathematics
ISBN : 0824700317

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KKM Theory and Applications in Nonlinear Analysis by George Xian-Zhi Yuan Pdf

This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.

Nonlinear Analysis and Optimization I

Simeon Reich,Aleksandr Davidovich Ioffe
Nonlinear Analysis and Optimization I Book PDF

Author : Simeon Reich,Aleksandr Davidovich Ioffe
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 48,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9780821848340

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Nonlinear Analysis and Optimization I by Simeon Reich,Aleksandr Davidovich Ioffe Pdf

This volume is the first of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in these important fields of mathematics. This volume contains articles on nonlinear analysis. Topics covered include the convex feasibility problem, fixed point theory, mathematical biology, Mosco stability, nonexpansive mapping theory, nonlinear partial differential equations, optimal control, the proximal point algorithm and semigroup theory. The companion volume (Contemporary Mathematics, Volume 514) is devoted to optimization. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: A. S. Ackleh, K. Deng, and Q. Huang -- Existence-uniqueness results and difference approximations for an amphibian juvenile-adult model; S. Aizicovici, N. S. Papageorgiou, and V. Staicu -- Three nontrivial solutions for $p$-Laplacian Neumann problems with a concave nonlinearity near the origin; V. Barbu -- Optimal stabilizable feedback controller for Navier-Stokes equations; H. H. Bauschke and X. Wang -- Firmly nonexpansive and Kirszbraun-Valentine extensions: A constructive approach via monotone operator theory; R. E. Bruck -- On the random product of orthogonal projections in Hilbert space II; D. Butnariu, E. Resmerita, and S. Sabach -- A Mosco stability theorem for the generalized proximal mapping; A. Cegielski -- Generalized relaxations of nonexpansive operators and convex feasibility problems; Y. Censor and A. Segal -- Sparse string-averaging and split common fixed points; T. Dominguez Benavides and S. Phothi -- Genericity of the fixed point property for reflexive spaces under renormings; K. Goebel and B. Sims -- Mean Lipschitzian mappings; T. Ibaraki and W. Takahashi -- Generalized nonexpansive mappings and a proximal-type algorithm in Banach spaces; W. Kaczor, T. Kuczumow, and N. Michalska -- The common fixed point set of commuting nonexpansive mapping in Cartesian products of weakly compact convex sets; L. Leu'tean -- Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces; G. Lopez, V. Martin-Marquez, and H.-K. Xu -- Halpern's iteration for nonexpansive mappings; J. W. Neuberger -- Lie generators for local semigroups; H.-K. Xu -- An alternative regularization method for nonexpansive mappings with applications. (CONM/513)

Contributions to Nonlinear Analysis

Thierry Cazenave,David Costa,Orlando Lopes,Raúl Manásevich,Paul Rabinowitz,Bernhard Ruf,Carlos Tomei
Contributions to Nonlinear Analysis Book PDF

Author : Thierry Cazenave,David Costa,Orlando Lopes,Raúl Manásevich,Paul Rabinowitz,Bernhard Ruf,Carlos Tomei
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 42,9 Mb
Release : 2007-08-10
Category : Mathematics
ISBN : 9783764374013

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Contributions to Nonlinear Analysis by Thierry Cazenave,David Costa,Orlando Lopes,Raúl Manásevich,Paul Rabinowitz,Bernhard Ruf,Carlos Tomei Pdf

This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u ?? u =|u| u in ? ×(0,+?) ? tt ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 1) ? ? u+g(u)=0 on ? ×(0,+?) ? t 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t n where ? is a bounded domain of R ,n? 1, with a smooth boundary ? = ? ?? . 0 1 Here, ? and ? are closed and disjoint and ? represents the unit outward normal 0 1 to ?. Problems like (1. 1), more precisely, ? u ?? u =?f (u)in? ×(0,+?) ? tt 0 ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 2) ? ? u =?g(u )?f (u)on? ×(0,+?) ? t 1 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t were widely studied in the literature, mainly when f =0,see[6,13,22]anda 1 long list of references therein. When f =0and f = 0 this kind of problem was 0 1 well studied by Lasiecka and Tataru [15] for a very general model of nonlinear functions f (s),i=0,1, but assuming that f (s)s? 0, that is, f represents, for i i i each i, an attractive force.

Nonlinear Analysis and Applications

Ravi P. Agarwal,Donal O'Regan
Nonlinear Analysis and Applications Book PDF

Author : Ravi P. Agarwal,Donal O'Regan
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 44,8 Mb
Release : 2003
Category : Mathematics
ISBN : 140201712X

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Nonlinear Analysis and Applications by Ravi P. Agarwal,Donal O'Regan Pdf

This work is dedicated to Professor V. Lakshmikantham on the occasion of his 80th birthday. The volumes consist of 45 research papers from distinguished experts from a variety of research areas. Topics include monotonicity and compact methods, blow up and global existence for hyperbolic problems, dynamic systems on time scales, maximum monotone mappings, fixed point theory, quasivalued elliptic problems including mixed BVP's, impulsive and evolution inclusions, iterative processes, Morse theory, hemivariational inequalities, Navier-Stokes equations, multivalued BVP's, various aspects of control theory, integral operators, semigroup theories, modelling of real world phenomena, higher order parabolic equations, invariant measures, superlinear problems and operator equations.

Complex Analysis and Dynamical Systems VI

Lawrence Zalcman
Complex Analysis and Dynamical Systems VI Book PDF

Author : Lawrence Zalcman
Publisher : American Mathematical Soc.
Page : 316 pages
File Size : 55,9 Mb
Release : 2016-05-19
Category : Calculus of variations
ISBN : 9781470417031

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Complex Analysis and Dynamical Systems VI by Lawrence Zalcman Pdf

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.

An Introduction to Nonlinear Analysis: Applications

Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
An Introduction to Nonlinear Analysis Applications Book PDF

Author : Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
Publisher : Springer Science & Business Media
Page : 844 pages
File Size : 48,7 Mb
Release : 2003-01-31
Category : Computers
ISBN : 0306474565

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An Introduction to Nonlinear Analysis: Applications by Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou Pdf

This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.

Approximate Solutions of Common Fixed-Point Problems

Alexander J. Zaslavski
Approximate Solutions of Common Fixed Point Problems Book PDF

Author : Alexander J. Zaslavski
Publisher : Springer
Page : 454 pages
File Size : 48,5 Mb
Release : 2016-06-30
Category : Mathematics
ISBN : 9783319332550

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Approximate Solutions of Common Fixed-Point Problems by Alexander J. Zaslavski Pdf

This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how many iterates one needs to find it. According to know results, these algorithms should converge to a solution. In this exposition, these algorithms are studied, taking into account computational errors which remain consistent in practice. In this case the convergence to a solution does not take place. We show that our algorithms generate a good approximate solution if computational errors are bounded from above by a small positive constant. Beginning with an introduction, this monograph moves on to study: · dynamic string-averaging methods for common fixed point problems in a Hilbert space · dynamic string methods for common fixed point problems in a metric space“/p> · dynamic string-averaging version of the proximal algorithm · common fixed point problems in metric spaces · common fixed point problems in the spaces with distances of the Bregman type · a proximal algorithm for finding a common zero of a family of maximal monotone operators · subgradient projections algorithms for convex feasibility problems in Hilbert spaces

Discrete Element Analysis Methods of Generic Differential Quadratures

Chang-New Chen
Discrete Element Analysis Methods of Generic Differential Quadratures Book PDF

Author : Chang-New Chen
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 54,6 Mb
Release : 2008-09-12
Category : Mathematics
ISBN : 9783540311850

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Discrete Element Analysis Methods of Generic Differential Quadratures by Chang-New Chen Pdf

Following the advance in computer technology, the numerical technique has made signi?cant progress in the past decades. Among the major techniques available for numerically analyzing continuum mechanics problems, ?nite d- ference method is most early developed. It is di?cult to deal with cont- uum mechanics problems showing complex curvilinear geometries by using this method. The other method that can consistently discretize continuum mechanics problems showing arbitrarily complex geometries is ?nite element method. In addition, boundary element method is also a useful numerical method. In the past decade, the di?erential quadrature and generic di?erential quadraturesbaseddiscreteelementanalysismethodshavebeendevelopedand usedto solve various continuum mechanics problems. These methods have the same advantage as ?nite element method of consistently discretizing cont- uum mechanics problems having arbitrarily complex geometries. This book includes my research results obtained in developing the related novel discrete element analysis methods using both of the extended di?erential quadrature based spacial and temporal elements. It is attempted to introduce the dev- oped numerical techniques as applied to the solution of various continuum mechanics problems, systematically.

Applied Nonlinear Analysis

Jean-Pierre Aubin,Ivar Ekeland
Applied Nonlinear Analysis Book PDF

Author : Jean-Pierre Aubin,Ivar Ekeland
Publisher : Courier Corporation
Page : 530 pages
File Size : 53,8 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9780486453248

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Applied Nonlinear Analysis by Jean-Pierre Aubin,Ivar Ekeland Pdf

Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.

Topics in Nonlinear Analysis

Joachim Escher,Gieri Simonett
Topics in Nonlinear Analysis Book PDF

Author : Joachim Escher,Gieri Simonett
Publisher : Birkhäuser
Page : 741 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034887656

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Topics in Nonlinear Analysis by Joachim Escher,Gieri Simonett Pdf

Herbert Amann's work is distinguished and marked by great lucidity and deep mathematical understanding. The present collection of 31 research papers, written by highly distinguished and accomplished mathematicians, reflect his interest and lasting influence in various fields of analysis such as degree and fixed point theory, nonlinear elliptic boundary value problems, abstract evolutions equations, quasi-linear parabolic systems, fluid dynamics, Fourier analysis, and the theory of function spaces. Contributors are A. Ambrosetti, S. Angenent, W. Arendt, M. Badiale, T. Bartsch, Ph. Bénilan, Ph. Clément, E. Faöangová, M. Fila, D. de Figueiredo, G. Gripenberg, G. Da Prato, E.N. Dancer, D. Daners, E. DiBenedetto, D.J. Diller, J. Escher, G.P. Galdi, Y. Giga, T. Hagen, D.D. Hai, M. Hieber, H. Hofer, C. Imbusch, K. Ito, P. Krejcí, S.-O. Londen, A. Lunardi, T. Miyakawa, P. Quittner, J. Prüss, V.V. Pukhnachov, P.J. Rabier, P.H. Rabinowitz, M. Renardy, B. Scarpellini, B.J. Schmitt, K. Schmitt, G. Simonett, H. Sohr, V.A. Solonnikov, J. Sprekels, M. Struwe, H. Triebel, W. von Wahl, M. Wiegner, K. Wysocki, E. Zehnder and S. Zheng.

Nonlinear Analysis, Differential Equations and Control

F.H. Clarke,R.J. Stern
Nonlinear Analysis Differential Equations and Control Book PDF

Author : F.H. Clarke,R.J. Stern
Publisher : Springer Science & Business Media
Page : 614 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401145602

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Nonlinear Analysis, Differential Equations and Control by F.H. Clarke,R.J. Stern Pdf

Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.

Networks in Action

David Batten,John Casti,Roland Thord
Networks in Action Book PDF

Author : David Batten,John Casti,Roland Thord
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642578434

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Networks in Action by David Batten,John Casti,Roland Thord Pdf

fifteen countries in Scandinavia, Europe, Asia, Australia, and U.S.A. All of them came to Stockholm primarily because they recognize the growing im portance of networks as complex systems, and their home institutions do not offer any systematic lectures on this topic. The Networks Course was originally initiated jointly by the Summer University of Southern Stockholm Foundation and the County Council of Stockholm, the Swedish Aviation Administration, the Swedish National Road Administration, the Swedish Post, the Swedish State Railways, and Telia AB. They have all served as joint sponsors and hosts for the Course. In the year 1993 the Course also was sponsored by the Swedish Transport and Communications Research Board. All these organizations have supported the publication of a series of key lectures from the Course, to be released as a single volume entitled Networks in Action. It is the ambition of the Foundation to create continuity in its activities for the future. The board has proposed to its principals to take a decision in this direction. It is my expectation that this will be the case for the Networks Course from 1995. This book will then serve as a basic reference for use in an era when the topic of Communication-Networks will be included on a permanent basis in the Summer University's agenda.

Constructive, Experimental, and Nonlinear Analysis

Michel A. Théra
Constructive Experimental and Nonlinear Analysis Book PDF

Author : Michel A. Théra
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 52,7 Mb
Release : 2000
Category : Mathematics
ISBN : 0821821679

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Constructive, Experimental, and Nonlinear Analysis by Michel A. Théra Pdf

"This volume presents twenty original refereed papers on different aspects of modern analysis, including analytic and computational number theory, symbolic and numerical computation, theoretical and computational optimization, and recent development in nonsmooth and functional analysis with applications to control theory. These papers originated largely from a conference held in conjunction with a 1999 Doctorate Honoris Causa awarded to Jonathan Borwein at Limoges. As such they reflect the areas in which Dr. Borwein has worked. In addition to providing a snapshot of research in the field of modern analysis, the papers suggest some of the directions this research is following at the beginning of the millennium."--BOOK JACKET.

Nonlinear Analysis and Synthesis Techniques for Aircraft Control

Declan Bates,Martin Hagström
Nonlinear Analysis and Synthesis Techniques for Aircraft Control Book PDF

Author : Declan Bates,Martin Hagström
Publisher : Springer
Page : 364 pages
File Size : 40,7 Mb
Release : 2007-10-04
Category : Technology & Engineering
ISBN : 9783540737193

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Nonlinear Analysis and Synthesis Techniques for Aircraft Control by Declan Bates,Martin Hagström Pdf

This is the first book to focus on the use of nonlinear analysis and synthesis techniques for aircraft control. It is also the first book to address in detail closed-loop control problems for aircraft "on-ground" – i.e. speed and directional control of aircraft before take-off and after touch down. The book will be of interest to engineers, researchers, and students in control engineering, and especially aircraft control.