Nonlinear Analysis and Control of Physical Processes and Fields

Valery S. Melnik

ISBN 10: 3642622852 / ISBN 13: 9783642622854

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Modern achievements in the intensively developing field of applied mathematicsare presented in this monograph. In particular,it proposesa 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, whiletheir weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposesregularization 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.

Seller Inventory # 9783642622854

Bibliographic Details

• Title: Nonlinear Analysis and Control of Physical Processes and Fields
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg
• Publication Date: 2012
• Language: English
• ISBN 10: 3642622852
• ISBN 13: 9783642622854
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 29D millimeters 235 millimeters width by 155 millimeters height by 29 millimeters depth
• Weight: 785 grams

About this title

Synopsis

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.