Contributions to Nonlinear Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3764374012
Total Pages : 516 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Contributions to Nonlinear Analysis by : Thierry Cazenave

Download or read book Contributions to Nonlinear Analysis written by Thierry Cazenave and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Contributions to Nonlinear Functional Analysis

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Publisher : Academic Press
ISBN 13 : 1483266621
Total Pages : 687 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Contributions to Nonlinear Functional Analysis by : Eduardo H. Zarantonello

Download or read book Contributions to Nonlinear Functional Analysis written by Eduardo H. Zarantonello and published by Academic Press. This book was released on 2014-05-10 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree and an application to a nonlinear elliptic boundary value problem. The discussion then turns to the use of degree theory to prove the existence of global continua of solutions of nonlinear eigenvalue problems; transversality in nonlinear eigenvalue problems; and how variational structure can be used to study some local questions in bifurcation theory. Subsequent chapters deal with the notion of monotone operators and monotonicity theory; a nonlinear version of the Hille-Yosida theorem; a version of the penalty method for the Navier-Stokes equations; and various types of weak solutions for minimizing problems in the spirit of duality theory for convex functionals. This monograph will be of interest to students and practitioners in the field of mathematics who want to learn more about nonlinear functional analysis.

Nonlinear Time Series Analysis of Business Cycles

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Publisher : Emerald Group Publishing
ISBN 13 : 044451838X
Total Pages : 461 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Nonlinear Time Series Analysis of Business Cycles by : C. Milas

Download or read book Nonlinear Time Series Analysis of Business Cycles written by C. Milas and published by Emerald Group Publishing. This book was released on 2006-02-08 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Contributions to Economic Analysis addresses a number of important questions in the field of business cycles including: How should business cycles be dated and measured? What is the response of output and employment to oil-price and monetary shocks? And, is the business cycle asymmetric, and does it matter?

Topological Methods For Set-valued Nonlinear Analysis

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Publisher : World Scientific
ISBN 13 : 9814476218
Total Pages : 627 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topological Methods For Set-valued Nonlinear Analysis by : Enayet U Tarafdar

Download or read book Topological Methods For Set-valued Nonlinear Analysis written by Enayet U Tarafdar and published by World Scientific. This book was released on 2008-02-22 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Methods in Nonlinear Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3540292322
Total Pages : 448 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Methods in Nonlinear Analysis by : Kung-Ching Chang

Download or read book Methods in Nonlinear Analysis written by Kung-Ching Chang and published by Springer Science & Business Media. This book was released on 2005-11-21 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometrical Methods of Nonlinear Analysis

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Publisher : Springer
ISBN 13 : 9783642694110
Total Pages : 0 pages
Book Rating : 4.6/5 (941 download)

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Book Synopsis Geometrical Methods of Nonlinear Analysis by : Alexander Krasnosel'skii

Download or read book Geometrical Methods of Nonlinear Analysis written by Alexander Krasnosel'skii and published by Springer. This book was released on 2011-11-18 with total page 0 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.

Nonlinear Analysis and Global Optimization

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Publisher : Springer Nature
ISBN 13 : 3030617327
Total Pages : 484 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Nonlinear Analysis and Global Optimization by : Themistocles M. Rassias

Download or read book Nonlinear Analysis and Global Optimization written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-02-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

Applied Nonlinear Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0306470969
Total Pages : 569 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Applied Nonlinear Analysis by : Adélia Sequeira

Download or read book Applied Nonlinear Analysis written by Adélia Sequeira and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant as a present to honor Professor on the th occasion of his 70 birthday. It collects refereed contributions from sixty-one mathematicians from eleven countries. They cover many different areas of research related to the work of Professor including Navier-Stokes equations, nonlinear elasticity, non-Newtonian fluids, regularity of solutions of parabolic and elliptic problems, operator theory and numerical methods. The realization of this book could not have been made possible without the generous support of Centro de Matemática Aplicada (CMA/IST) and Fundação Calouste Gulbenkian. Special thanks are due to Dr. Ulrych for the careful preparation of the final version of this book. Last but not least, we wish to express our gratitude to Dr. for her invaluable assistance from the very beginning. This project could not have been successfully concluded without her enthusiasm and loving care for her father. On behalf of the editors ADÉLIA SEQUEIRA v honored by the Order of Merit of the Czech Republic by Václav Havel, President of the Czech Republic, on the October 28, 1998, Professor Emeritus of Mathematics at the Charles University in Prague, Presidential Research Professor at the Northern Illinois University and Doctor Honoris Causa at the Technical University of Dresden, has been enriching the Czech and world mathematics with his new ideas in the areas of partial differential equations, nonlinear functional analysis and applications of the both disciplines in continuum mechanics and hydrodynamics for more than forty years.

A Primer of Nonlinear Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521485739
Total Pages : 184 pages
Book Rating : 4.4/5 (857 download)

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Book Synopsis A Primer of Nonlinear Analysis by : Antonio Ambrosetti

Download or read book A Primer of Nonlinear Analysis written by Antonio Ambrosetti and published by Cambridge University Press. This book was released on 1995-03-09 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.

Methods of Nonlinear Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3034803877
Total Pages : 652 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Methods of Nonlinear Analysis by : Pavel Drabek

Download or read book Methods of Nonlinear Analysis written by Pavel Drabek and published by Springer Science & Business Media. This book was released on 2013-01-18 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

Nonlinear Analysis, Geometry and Applications

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Publisher : Birkhäuser
ISBN 13 : 9783030573355
Total Pages : 462 pages
Book Rating : 4.5/5 (733 download)

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Book Synopsis Nonlinear Analysis, Geometry and Applications by : Diaraf Seck

Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Birkhäuser. This book was released on 2020-11-21 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Nonlinear Analysis

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Publisher : CRC Press
ISBN 13 : 9781584884842
Total Pages : 992 pages
Book Rating : 4.8/5 (848 download)

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Book Synopsis Nonlinear Analysis by : Leszek Gasinski

Download or read book Nonlinear Analysis written by Leszek Gasinski and published by CRC Press. This book was released on 2005-07-27 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.

Analysis and Design of Nonlinear Control Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540743588
Total Pages : 485 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Analysis and Design of Nonlinear Control Systems by : Alessandro Astolfi

Download or read book Analysis and Design of Nonlinear Control Systems written by Alessandro Astolfi and published by Springer Science & Business Media. This book was released on 2007-11-13 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Prof. Alberto Isidori on the occasion of his 65th birthday. Prof. Isidori’s proli?c, pioneering and high-impact research activity has spanned over 35 years. Throughout his career, Prof. Isidori has developed ground-breaking results, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.In addition,his dedication to explain intricate issues and di?cult concepts in a simple and rigorous way and to motivate young researchers has been instrumental to the intellectual growth of the nonlinear control community worldwide. The volume collects 27 contributions written by a total of 52 researchers. The principal author of each contribution has been selected among the - searchers who have worked with Prof. Isidori, have in?uenced his research activity, or have had the privilege and honour of being his PhD students. The contributions address a signi?cant number of control topics, including th- retical issues, advanced applications, emerging control directions and tutorial works. The diversity of the areas covered, the number of contributors and their international standing provide evidence of the impact of Prof. Isidori in the control and systems theory communities. The book has been divided into six parts: System Analysis, Optimization Methods, Feedback Design, Regulation, Geometric Methods and Asymptotic Analysis, re?ecting important control areas which have been strongly in- enced and, in some cases, pioneered by Prof. Isidori.

Nonlinear Continuum Mechanics for Finite Element Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521572729
Total Pages : 272 pages
Book Rating : 4.5/5 (727 download)

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Book Synopsis Nonlinear Continuum Mechanics for Finite Element Analysis by : Javier Bonet

Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.

Nonlinear Analysis - Theory and Methods

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Publisher : Springer
ISBN 13 : 3030034305
Total Pages : 586 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Nonlinear Analysis - Theory and Methods by : Nikolaos S. Papageorgiou

Download or read book Nonlinear Analysis - Theory and Methods written by Nikolaos S. Papageorgiou and published by Springer. This book was released on 2019-02-26 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.

Variational Methods in Nonlinear Analysis

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647451
Total Pages : 584 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Variational Methods in Nonlinear Analysis by : Dimitrios C. Kravvaritis

Download or read book Variational Methods in Nonlinear Analysis written by Dimitrios C. Kravvaritis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-04-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

An Introduction to Nonlinear Analysis: Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9780306474569
Total Pages : 844 pages
Book Rating : 4.4/5 (745 download)

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Book Synopsis An Introduction to Nonlinear Analysis: Applications by : Zdzislaw Denkowski

Download or read book An Introduction to Nonlinear Analysis: Applications written by Zdzislaw Denkowski and published by Springer Science & Business Media. This book was released on 2003-01-31 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.