Genericity in Nonlinear Analysis

Genericity in Nonlinear Analysis PDF Author: Simeon Reich
Publisher: Springer Science & Business Media
ISBN: 1461495334
Category : Mathematics
Languages : en
Pages : 529

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Book Description
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.

Genericity in Nonlinear Analysis

Genericity in Nonlinear Analysis PDF Author: Simeon Reich
Publisher: Springer Science & Business Media
ISBN: 1461495334
Category : Mathematics
Languages : en
Pages : 529

Get Book Here

Book Description
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

KKM Theory and Applications in Nonlinear Analysis PDF Author: George Xian-Zhi Yuan
Publisher: CRC Press
ISBN: 9780824700317
Category : Mathematics
Languages : en
Pages : 648

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Book Description
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.

An Introduction to Nonlinear Analysis: Applications

An Introduction to Nonlinear Analysis: Applications PDF Author: Zdzislaw Denkowski
Publisher: Springer Science & Business Media
ISBN: 9780306474569
Category : Computers
Languages : en
Pages : 844

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Book Description
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.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 968

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Book Description


Foundations of Generic Optimization

Foundations of Generic Optimization PDF Author: R. Lowen
Publisher: Springer Science & Business Media
ISBN: 1402066686
Category : Mathematics
Languages : en
Pages : 463

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Book Description
This is a comprehensive overview of the basics of fuzzy control, which also brings together some recent research results in soft computing, in particular fuzzy logic using genetic algorithms and neural networks. This book offers researchers not only a solid background but also a snapshot of the current state of the art in this field.

Topics in Nonlinear Analysis

Topics in Nonlinear Analysis PDF Author: Joachim Escher
Publisher: Birkhäuser
ISBN: 3034887655
Category : Mathematics
Languages : en
Pages : 741

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Book Description
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 and Applications

Nonlinear Analysis and Applications PDF Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 9781402017124
Category : Mathematics
Languages : en
Pages : 378

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Book Description
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.

Topological Methods in Nonlinear Analysis

Topological Methods in Nonlinear Analysis PDF Author:
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 428

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Book Description


Mathematical Modelling in Science and Technology

Mathematical Modelling in Science and Technology PDF Author: Xavier J.R. Avula
Publisher: Elsevier
ISBN: 1483190595
Category : Mathematics
Languages : en
Pages : 1023

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Book Description
Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.

Fixed Point Theory and Applications

Fixed Point Theory and Applications PDF Author: Yeol Je Cho
Publisher: Nova Publishers
ISBN: 9781590331897
Category : Mathematics
Languages : en
Pages : 220

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Book Description
Fixed Point Theory & Applications Volume II