Description
Nonlinear Analysis and Control of Physical Processes and Fields, Softcover reprint of the original 1st ed. 2004
Data and Knowledge in a Changing World Series
Authors: Zgurovsky Mikhail Z., Melnik Valery S.
Language: EnglishSubjects for Nonlinear Analysis and Control of Physical Processes and...:
158.24 €
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Add to cart the book of Zgurovsky Mikhail Z., Melnik Valery S.Publication date: 11-2012
508 p. · 15.5x23.5 cm · Paperback
158.24 €
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Add to cart the book of Zgurovsky Mikhail Z., Melnik Valery S.Publication date: 04-2004
508 p. · 15.5x23.5 cm · Hardback
Description
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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.