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Nonlinear Analysis and Control of Physical Processes and Fields [electronic resource] / by Mikhail Z. Zgurovsky, Valery S. Melnik.
Author
Zgurovsky, Mikhail Z.
[Browse]
Format
Book
Language
English
Εdition
1st ed. 2004.
Published/Created
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
Description
1 online resource (XIV, 508 p.)
Availability
Available Online
Springer Nature - Springer Book Archive - Springer Chemistry and Material Science
Details
Subject(s)
Mathematical analysis
[Browse]
Analysis (Mathematics).
[Browse]
Physical chemistry
[Browse]
Chemometrics
[Browse]
Physics
[Browse]
Statistical physics
[Browse]
Dynamical systems
[Browse]
Atoms
[Browse]
Author
Melnik, Valery S.
[Browse]
Melnik, Valery S.
[Browse]
Melnik, Valery S.
[Browse]
Series
Data and Knowledge in a Changing World,
[More in this series]
Data and Knowledge in a Changing World, 1431-2107
[More in this series]
Summary note
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.
Notes
Bibliographic Level Mode of Issuance: Monograph
Bibliographic references
Includes bibliographical references.
Language note
English
Contents
I. Nonlinear Analysis Methods
1. Preliminary Results
2. Functionals and Forms
3. Nonlinear Operator Equations, Inclusions, and Variational Inequalities
4. Differential-Operator Equations and Inclusions
II. Problems of Control by Distributed Parameter Objects
5. Extremal Problems for Nonlinear Operator Equations and Variational Inequalities
6. Optimal Control for Differential-Operator Equations and Inclusions
7. Some Problems of Synthesis in Distributed Parameter Systems
8. Control of Heat Transfer and Diffusion Processes
9. Problems of Control of Physical Processes of Diffusion and Heat-Mass Transfer
10. Mathematical Formalization and Computational Realization of Diffusion and Heat-Mass Transfer Processes
References.
Show 10 more Contents items
ISBN
3-642-18770-6
Doi
10.1007/978-3-642-18770-4
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Other versions
Nonlinear analysis and control of physical processes and fields / M.Z. Zgurovsky, V.S. Melʹnik.
id
9946299883506421
Nonlinear analysis and control of physical processes and fields / M.Z. Zgurovsky, V.S. Melńik.
id
SCSB-5057472