Advances in Nonlinear Variational Inequalities
Author :
Publisher :
Page : 510 pages
File Size : 17,82 MB
Release : 2006
Category : Inequalities (Mathematics)
ISBN :
Nonlinear Inclusions and Hemivariational Inequalities
Author : Stanisław Migórski
Publisher : Springer Science & Business Media
Page : 293 pages
File Size : 48,27 MB
Release : 2012-09-18
Category : Mathematics
ISBN : 146144232X
Book Description
This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.
Nonlinear Analysis
Author : Leszek Gasinski
Publisher : CRC Press
Page : 992 pages
File Size : 43,41 MB
Release : 2005-07-27
Category : Mathematics
ISBN : 9781584884842
Book Description
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.
Combined Relaxation Methods for Variational Inequalities
Author : Igor Konnov
Publisher : Springer Science & Business Media
Page : 190 pages
File Size : 19,52 MB
Release : 2012-12-06
Category : Business & Economics
ISBN : 3642568866
Book Description
Variational inequalities proved to be a very useful and powerful tool for in vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob lems and traffic network equilibrium problems. Besides, they are closely re lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures.
Nonlinear Analysis - Theory and Methods
Author : Nikolaos S. Papageorgiou
Publisher : Springer
Page : 586 pages
File Size : 13,12 MB
Release : 2019-02-26
Category : Mathematics
ISBN : 3030034305
Book Description
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.
Mathematical Sciences Research Journal
Author :
Publisher :
Page : 234 pages
File Size : 45,75 MB
Release : 2006
Category : Mathematics
ISBN :
Book Description
Panamerican Mathematical Journal
Author :
Publisher :
Page : 480 pages
File Size : 47,32 MB
Release : 2002
Category : Mathematics
ISBN :
Book Description
Fixed Point Theory and Applications
Author : Yeol Je Cho
Publisher : Nova Publishers
Page : 216 pages
File Size : 49,21 MB
Release : 2007-08
Category : Mathematics
ISBN : 9781594548772
Book Description
This volume deals with new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.
Approximate Solution of Operator Equations with Applications
Author : Ioannis K. Argyros
Publisher : World Scientific
Page : 530 pages
File Size : 42,7 MB
Release : 2005
Category : Mathematics
ISBN : 9812563652
Book Description
Researchers are faced with the problem of solving a variety of equations in the course of their work in engineering, economics, physics, and the computational sciences. This book focuses on a new and improved local-semilocal and monotone convergence analysis of efficient numerical methods for computing approximate solutions of such equations, under weaker hypotheses than in other works. This particular feature is the main strength of the book when compared with others already in the literature.The explanations and applications in the book are detailed enough to capture the interest of curious readers and complete enough to provide the necessary background material to go further into the subject.
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem
Author : Roland Glowinski
Publisher : SIAM
Page : 473 pages
File Size : 24,82 MB
Release : 2015-11-04
Category : Mathematics
ISBN : 1611973783
Book Description
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems?addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
