Nonlinear Analysis And Variational Problems

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Nonlinear Analysis and Variational Problems

Panos M. Pardalos,Themistocles M. Rassias,Akhtar A. Khan
Nonlinear Analysis and Variational Problems Book PDF

Author : Panos M. Pardalos,Themistocles M. Rassias,Akhtar A. Khan
Publisher : Springer Science & Business Media
Page : 502 pages
File Size : 41,5 Mb
Release : 2009-10-20
Category : Business & Economics
ISBN : 9781441901583

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Nonlinear Analysis and Variational Problems by Panos M. Pardalos,Themistocles M. Rassias,Akhtar A. Khan Pdf

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems

Dumitru Motreanu,Vicentiu D. Radulescu
Variational and Non variational Methods in Nonlinear Analysis and Boundary Value Problems Book PDF

Author : Dumitru Motreanu,Vicentiu D. Radulescu
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 41,9 Mb
Release : 2003-05-31
Category : Mathematics
ISBN : 140201385X

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Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems by Dumitru Motreanu,Vicentiu D. Radulescu Pdf

This book reflects a significant part of authors' research activity dur ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.

Variational Methods in Nonlinear Analysis

Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos
Variational Methods in Nonlinear Analysis Book PDF

Author : Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos
Publisher : Walter de Gruyter GmbH & Co KG
Page : 384 pages
File Size : 45,5 Mb
Release : 2020-04-06
Category : Mathematics
ISBN : 9783110647457

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Variational Methods in Nonlinear Analysis by Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos Pdf

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.

Nonlinear Analysis and Variational Problems

Panos M. Pardalos
Nonlinear Analysis and Variational Problems Book PDF

Author : Panos M. Pardalos
Publisher : Unknown
Page : 501 pages
File Size : 44,8 Mb
Release : 2010
Category : Mathematical analysis
ISBN : 1441901787

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Nonlinear Analysis and Variational Problems by Panos M. Pardalos Pdf

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization. ""Nonlinear Analysis and Variational Problems"" is organized into two parts. Part I, Nonlinear Analysis, centers on stability issues for functional equations, fixed point theorems.

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 : 40,8 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.

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 : 44,5 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.

Methods of Nonlinear Analysis

Pavel Drabek,Jaroslav Milota
Methods of Nonlinear Analysis Book PDF

Author : Pavel Drabek,Jaroslav Milota
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 45,5 Mb
Release : 2007-10-24
Category : Mathematics
ISBN : 9783764381479

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Methods of Nonlinear Analysis by Pavel Drabek,Jaroslav Milota Pdf

In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book.

Solutions of Nonlinear Differential Equations

Lin Li,Shu-Zhi Song
Solutions of Nonlinear Differential Equations Book PDF

Author : Lin Li,Shu-Zhi Song
Publisher : World Scientific
Page : 364 pages
File Size : 40,6 Mb
Release : 2016-04-15
Category : Mathematics
ISBN : 9789813108622

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Solutions of Nonlinear Differential Equations by Lin Li,Shu-Zhi Song Pdf

Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis). In our first chapter, we gather the basic notions and fundamental theorems that will be applied throughout the chapters. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with how variational methods can be used in fourth-order problems, Kirchhoff problems, nonlinear field problems, gradient systems, and variable exponent problems. A very extensive bibliography is also included. Contents:PrefaceSome Notations and ConventionsPreliminaries and Variational PrinciplesQuasilinear Fourth-Order ProblemsKirchhoff ProblemsNonlinear Field ProblemsGradient SystemsVariable Exponent Problems Readership: Graduate students and researchers interested in variational methods.

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Dumitru Motreanu,Viorica Venera Motreanu,Nikolaos Papageorgiou
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems Book PDF

Author : Dumitru Motreanu,Viorica Venera Motreanu,Nikolaos Papageorgiou
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 45,9 Mb
Release : 2013-11-19
Category : Mathematics
ISBN : 9781461493235

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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems by Dumitru Motreanu,Viorica Venera Motreanu,Nikolaos Papageorgiou Pdf

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

Numerical Methods for Nonlinear Variational Problems

Roland Glowinski
Numerical Methods for Nonlinear Variational Problems Book PDF

Author : Roland Glowinski
Publisher : Springer Science & Business Media
Page : 506 pages
File Size : 41,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662126134

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Numerical Methods for Nonlinear Variational Problems by Roland Glowinski Pdf

This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.

Solutions of Nonlinear Differential Equations

Lin Li (Mathematics professor),Shu-Zhi Song
Solutions of Nonlinear Differential Equations Book PDF

Author : Lin Li (Mathematics professor),Shu-Zhi Song
Publisher : Unknown
Page : 347 pages
File Size : 41,5 Mb
Release : 2016
Category : MATHEMATICS
ISBN : 9813108614

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Solutions of Nonlinear Differential Equations by Lin Li (Mathematics professor),Shu-Zhi Song Pdf

Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).In our first chapter, we gather the basic notions and fundamental theorems that will be applied throughout the chapters. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with how variational methods can be used in fourth-order problems, Kirchhoff problems, nonlinear field problems, gradient systems, and variable exponent problems. A very extensive bibliography is also included.Contents:PrefaceSome Notations and ConventionsPreliminaries and Variational PrinciplesQuasilinear Fourth-Order ProblemsKirchhoff ProblemsNonlinear Field ProblemsGradient SystemsVariable Exponent ProblemsReadership: Graduate students and researchers interested in variational methods.Key Features:Each section contains supplementary comments and bibliographical notesThe style and the choice of the material make it accessible to all newcomers to the fieldThere is a rich bibliography and an index to aid the reader

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 : 47,5 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.

Convex Analysis and Variational Problems

Ivar Ekeland,Roger Temam
Convex Analysis and Variational Problems Book PDF

Author : Ivar Ekeland,Roger Temam
Publisher : SIAM
Page : 414 pages
File Size : 43,9 Mb
Release : 1999-12-01
Category : Mathematics
ISBN : 161197108X

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Convex Analysis and Variational Problems by Ivar Ekeland,Roger Temam Pdf

This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.

Variational Analysis

R. Tyrrell Rockafellar,Roger J.-B. Wets
Variational Analysis Book PDF

Author : R. Tyrrell Rockafellar,Roger J.-B. Wets
Publisher : Springer Science & Business Media
Page : 736 pages
File Size : 54,7 Mb
Release : 2009-06-26
Category : Mathematics
ISBN : 9783642024313

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Variational Analysis by R. Tyrrell Rockafellar,Roger J.-B. Wets Pdf

From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

Nonlinear Analysis

Qamrul Hasan Ansari
Nonlinear Analysis Book PDF

Author : Qamrul Hasan Ansari
Publisher : Springer
Page : 352 pages
File Size : 53,5 Mb
Release : 2014-06-05
Category : Mathematics
ISBN : 9788132218838

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Nonlinear Analysis by Qamrul Hasan Ansari Pdf

Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.