Degree Theory In Analysis And Applications

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Degree Theory In Analysis And Applications
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Author : Irene Fonseca
language : en
Publisher:
Release Date : 1995
Degree Theory In Analysis And Applications written by Irene Fonseca and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Functional analysis categories.
Nonlinear Analysis Theory And Methods
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Author : Nikolaos S. Papageorgiou
language : en
Publisher: Springer
Release Date : 2019-02-26
Nonlinear Analysis Theory And Methods written by Nikolaos S. Papageorgiou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-26 with Mathematics categories.
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.
Nonlinear Analysis And Optimization Ii
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Author : Simeon Reich
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Nonlinear Analysis And Optimization Ii written by Simeon Reich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This volume is the second 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 important fields of mathematics. This volume contains articles on optimization. Topics covered include the calculus of variations, constrained optimization problems, mathematical economics, metric regularity, nonsmooth analysis, optimal control, subdifferential calculus, time scales and transportation traffic. The companion volume (Contemporary Mathematics, Volume 513) is devoted to nonlinear analysis. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: J.-P. Aubin and S. Martin -- Travel time tubes regulating transportation traffic; R. Baier and E. Farkhi -- The directed subdifferential of DC functions; Z. Balanov, W. Krawcewicz, and H. Ruan -- Periodic solutions to $O(2)$-symmetric variational problems: $O(2) \times S^1$- equivariant gradient degree approach; J. F. Bonnans and N. P. Osmolovskii -- Quadratic growth conditions in optimal control problems; J. M. Borwein and S. Sciffer -- An explicit non-expansive function whose subdifferential is the entire dual ball; G. Buttazzo and G. Carlier -- Optimal spatial pricing strategies with transportation costs; R. A. C. Ferreira and D. F. M. Torres -- Isoperimetric problems of the calculus of variations on time scales; M. Foss and N. Randriampiry -- Some two-dimensional $\mathcal A$-quasiaffine functions; F. Giannessi, A. Moldovan, and L. Pellegrini -- Metric regular maps and regularity for constrained extremum problems; V. Y. Glizer -- Linear-quadratic optimal control problem for singularly perturbed systems with small delays; T. Maruyama -- Existence of periodic solutions for Kaldorian business fluctuations; D. Mozyrska and E. Paw'uszewicz -- Delta and nabla monomials and generalized polynomial series on time scales; D. Pallaschke and R. Urba'ski -- Morse indexes for piecewise linear functions; J.-P. Penot -- Error bounds, calmness and their applications in nonsmooth analysis; F. Rampazzo -- Commutativity of control vector fields and ""inf-commutativity""; A. J. Zaslavski -- Stability of exact penalty for classes of constrained minimization problems in finite-dimensional spaces. (CONM/514)
Topics In Nonlinear Analysis And Applications
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Author : George Isac
language : en
Publisher: World Scientific
Release Date : 1997-05-02
Topics In Nonlinear Analysis And Applications written by George Isac and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-02 with Mathematics categories.
This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.
Applied Nonlinear Functional Analysis
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Author : Nikolaos S. Papageorgiou
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-01
Applied Nonlinear Functional Analysis written by Nikolaos S. Papageorgiou and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.
The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.
Topics In Nonlinear Functional Analysis
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Author : L. Nirenberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Topics In Nonlinear Functional Analysis written by L. Nirenberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
Handbook Of Applied Analysis
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Author : Nikolaos S. Papageorgiou
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-31
Handbook Of Applied Analysis written by Nikolaos S. Papageorgiou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-31 with Mathematics categories.
Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource for students and researchers in various scientific and mathematical disciplines. This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. Unique features of the Handbook of Applied Analysis: • Presents an accessible introduction to modern analysis, while still serving as a useful reference for researchers and practitioners; • Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinear boundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equations; • Serves as a complete guide to the theory of nonlinear analysis; • Includes numerous examples that demonstrate and expand upon the topics presented; • Suggests many directions for further research and study. In this one volume, the reader can find many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features, together with an extensive bibliography, make the volume a valuable tool for every researcher working on nonlinear analysis.
Nonlinear Functional Analysis And Applications To Differential Equations Proceedings Of The Second School
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Author : Antonio Ambrosetti
language : en
Publisher: World Scientific
Release Date : 1998-09-02
Nonlinear Functional Analysis And Applications To Differential Equations Proceedings Of The Second School written by Antonio Ambrosetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-02 with categories.
This advanced level textbook is devoted to the description of systems which show ordered magnetic phases. A wide selection of topics is covered, including a detailed treatment of the mean-field approximation as the main paradigm for the phenomenological description of phase transitions. The book discusses the properties of low-dimensional systems and uses Green's functions extensively after a useful mathematical introduction. A thorough presentation of the RKKY and related models of indirect exchange is also featured, and a chapter on surface magnetism, rarely found in other textbooks, adds to the uniqueness of this book.For the second edition, three new chapters have been added, namely on magnetic anisotropy, on coherent magnon states and on local moments. Additionally, the chapter on itinerant magnetism has been enlarged by including a section on paramagnons.
Methods In Nonlinear Analysis
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Author : Kung-Ching Chang
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-21
Methods In Nonlinear Analysis written by Kung-Ching Chang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-21 with Mathematics categories.
Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered throughout the literature from the methodology point of view, and presents them in a systematic way. It contains 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. There are five chapters that cover linearization, fixed-point theorems based on compactness and convexity, topological degree theory, minimization and topological variational methods. Each chapter combines abstract, classical and applied analysis. Particular topics included are bifurcation, perturbation, gluing technique, transversality, Nash–Moser technique, Ky Fan's inequality and equilibrium in game theory, setvalued mappings and differential equations with discontinuous nonlinear terms, multiple solutions in partial differential equations, direct method, quasiconvexity and relaxation, Young measure, compensation compactness method and Hardy space, concentration compactness and best constants, Ekeland variational principle, infinite-dimensional Morse theory, minimax method, index theory with group action, and Conley index theory. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry. The book aims to find a balance between theory and applications and will contribute to filling the gap between texts that either only study the abstract theory, or focus on some special equations.
Nonlinear Analysis And Semilinear Elliptic Problems
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Author : Antonio Ambrosetti
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-04
Nonlinear Analysis And Semilinear Elliptic Problems written by Antonio Ambrosetti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-04 with Mathematics categories.
A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.