Projected Dynamical Systems and Variational Inequalities with Applications

  • Anna Nagurney
  • Ding Zhang

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 2)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Theory of Projected Dynamical Systems

    1. Front Matter
      Pages 1-1
    2. Anna Nagurney, Ding Zhang
      Pages 3-7
    3. Anna Nagurney, Ding Zhang
      Pages 9-43
    4. Anna Nagurney, Ding Zhang
      Pages 45-74
    5. Anna Nagurney, Ding Zhang
      Pages 75-90
  3. Applications

    1. Front Matter
      Pages 91-91
    2. Anna Nagurney, Ding Zhang
      Pages 93-132
    3. Anna Nagurney, Ding Zhang
      Pages 133-196
    4. Anna Nagurney, Ding Zhang
      Pages 197-265
    5. Anna Nagurney, Ding Zhang
      Pages 267-292
  4. Back Matter
    Pages 293-296

About this book

Introduction

Equilibrium is a concept used in operations research and economics to understand the interplay of factors and problems arising from competitive systems in the economic world. The problems in this area are large and complex and have involved a variety of mathematical methodologies.
In this monograph, the authors have widened the scope of theoretical work with a new approach, `projected dynamical systems theory', to previous work in variational inequality theory. While most classical work in this area is static, the introduction to the theory of projected dynamical systems will allow many real-life dynamic situations and problems to be handled and modeled. This monograph includes:
  • a new theoretical approach, `projected dynamical system', which allows the researcher to model real-life situations more accurately;
  • new mathematical methods allowing researchers to combine other theoretical approaches with the projected dynamical systems approach;
  • a framework in which research can adequately model natural, financial and human (real life) situations in competitive equilibrium problems;
  • the computational and numerical methods for the implementation of the methods and theory discussed in the book;
  • stability analysis, algorithms and computational procedures are offered for each set of applications.

Keywords

algorithms calculus dynamical systems equilibrium operations research variational inequalities

Authors and affiliations

  • Anna Nagurney
    • 1
  • Ding Zhang
    • 1
  1. 1.School of ManagementUniversity of MassachusettsAmherstUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-2301-7
  • Copyright Information Kluwer Academic Publishers 1996
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-5972-2
  • Online ISBN 978-1-4615-2301-7
  • Series Print ISSN 0884-8289
  • About this book