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Nonlinear Analysis and Control of Physical Processes and Fields

  • Authors
  • M. Z. Zgurovsky
  • V. S. Mel’nik

Part of the Data and Knowledge in a Changing Word book series (DATAKNOWL)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Nonlinear Analysis Methods

    1. Front Matter
      Pages 1-1
    2. M. Z. Zgurovsky, V. S. Mel’nik
      Pages 3-47
    3. M. Z. Zgurovsky, V. S. Mel’nik
      Pages 49-65
    4. M. Z. Zgurovsky, V. S. Mel’nik
      Pages 67-95
    5. M. Z. Zgurovsky, V. S. Mel’nik
      Pages 97-147
  3. Problems of Control by Distributed Parameter Objects

    1. Front Matter
      Pages 149-149
    2. M. Z. Zgurovsky, V. S. Mel’nik
      Pages 251-349
    3. M. Z. Zgurovsky, V. S. Mel’nik
      Pages 351-361
    4. M. Z. Zgurovsky, V. S. Mel’nik
      Pages 363-430
  4. Back Matter
    Pages 501-508

About this book

Introduction

Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.

Keywords

Heat Transfer Heat-Mass Nonlinear Analysis Methods Parameter-systems Physical Processes calculus control differential equation differential equations extrema

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-18770-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62285-4
  • Online ISBN 978-3-642-18770-4
  • Series Print ISSN 1431-2107
  • Buy this book on publisher's site