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Data and Knowledge in a Changing World

Nonlinear Analysis and Control of Physical Processes and Fields

Authors: Zgurovsky, Michael, Melnik, Valery S.

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  • ISBN 978-3-642-18770-4
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  • ebooks can be used on all reading devices
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About this book

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.

Reviews

From the reviews:

"In this monograph, a new approach is given for the study of extremal problems in nonlinear operator and differential operator equations, as well as the variational inequalities in Banach spaces. … This monograph provides novel and up-to-date research on the theory of control of nonlinear infinite dimensional systems … . It is for the first time that this research is presented and it is of considerable interest to specialists in the field of nonlinear analysis and its applications … ." (Wordtrade, 2008)


Table of contents (10 chapters)

Table of contents (10 chapters)
  • Preliminary Results

    Pages 3-47

    Zgurovsky, M. Z. (et al.)

  • Functionals and Forms

    Pages 49-65

    Zgurovsky, M. Z. (et al.)

  • Nonlinear Operator Equations, Inclusions, and Variational Inequalities

    Pages 67-95

    Zgurovsky, M. Z. (et al.)

  • Differential-Operator Equations and Inclusions

    Pages 97-147

    Zgurovsky, M. Z. (et al.)

  • Extremal Problems for Nonlinear Operator Equations and Variational Inequalities

    Pages 151-249

    Zgurovsky, M. Z. (et al.)

Buy this book

eBook n/a
  • ISBN 978-3-642-18770-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-540-14019-1
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-3-642-62285-4
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Analysis and Control of Physical Processes and Fields
Authors
Series Title
Data and Knowledge in a Changing World
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18770-4
DOI
10.1007/978-3-642-18770-4
Hardcover ISBN
978-3-540-14019-1
Softcover ISBN
978-3-642-62285-4
Series ISSN
1431-2107
Edition Number
1
Number of Pages
XIV, 508
Topics