Recent Advances in Nonlinear Analysis

Recent Advances in Nonlinear Analysis
Author: Michel Chipot
Publisher: World Scientific
Total Pages: 268
Release: 2008
Genre: Mathematics
ISBN: 9812709258

This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research.

Recent Advances In Nonlinear Analysis - Proceedings Of The International Conference On Nonlinear Analysis

Recent Advances In Nonlinear Analysis - Proceedings Of The International Conference On Nonlinear Analysis
Author: Michel Marie Chipot
Publisher: World Scientific
Total Pages: 268
Release: 2008-02-22
Genre: Mathematics
ISBN: 9814474614

This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research.

An Introduction to Nonlinear Analysis

An Introduction to Nonlinear Analysis
Author: Martin Schechter
Publisher: Cambridge University Press
Total Pages: 380
Release: 2004
Genre: Mathematics
ISBN: 9780521843973

The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.

Nonlinear Analysis

Nonlinear Analysis
Author: Leszek Gasinski
Publisher: CRC Press
Total Pages: 992
Release: 2005-07-27
Genre: Mathematics
ISBN: 9781584884842

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.

Recent Advances in Nonlinear Dynamics and Synchronization

Recent Advances in Nonlinear Dynamics and Synchronization
Author: Kyandoghere Kyamakya
Publisher: Springer Science & Business Media
Total Pages: 401
Release: 2009-09-28
Genre: Computers
ISBN: 3642042260

The selected contributions of this book shed light on a series of interesting aspects related to nonlinear dynamics and synchronization with the aim of demonstrating some of their interesting applications in a series of selected disciplines. This book contains thirteenth chapters which are organized around five main parts. The first part (containing five chapters) does focus on theoretical aspects and recent trends of nonlinear dynamics and synchronization. The second part (two chapters) presents some modeling and simulation issues through concrete application examples. The third part (two chapters) is focused on the application of nonlinear dynamics and synchronization in transportation. The fourth part (two chapters) presents some applications of synchronization in security-related system concepts. The fifth part (two chapters) considers further applications areas, i.e. pattern recognition and communication engineering.

Recent Advances in Nonlinear Analysis and Optimization with Applications

Recent Advances in Nonlinear Analysis and Optimization with Applications
Author: Savin Treanţă
Publisher: Cambridge Scholars Publishing
Total Pages: 146
Release: 2020-09-30
Genre: Mathematics
ISBN: 1527560384

This book focuses on recent advances in nonlinear analysis and optimization with important applications drawn from various fields, such as artificial intelligence, genetic algorithms, optimization problems under uncertainty, and fuzzy logic. Specifically, it is devoted to nonlinear problems associated with optimization which have some connection with applications. The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.

Nonlinear Analysis - Theory and Methods

Nonlinear Analysis - Theory and Methods
Author: Nikolaos S. Papageorgiou
Publisher: Springer
Total Pages: 586
Release: 2019-02-26
Genre: Mathematics
ISBN: 3030034305

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 Semilinear Elliptic Problems

Nonlinear Analysis and Semilinear Elliptic Problems
Author: Antonio Ambrosetti
Publisher: Cambridge University Press
Total Pages: 334
Release: 2007-01-04
Genre: Mathematics
ISBN: 9780521863209

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.

Methods of Nonlinear Analysis

Methods of Nonlinear Analysis
Author: Pavel Drabek
Publisher: Springer Science & Business Media
Total Pages: 652
Release: 2013-01-18
Genre: Mathematics
ISBN: 3034803877

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

Applied Nonlinear Analysis

Applied Nonlinear Analysis
Author: Jean-Pierre Aubin
Publisher: Courier Corporation
Total Pages: 530
Release: 2006-01-01
Genre: Mathematics
ISBN: 0486453243

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.