Lectures On Mathematical Theory Of Extremum Problems
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Lectures On Mathematical Theory Of Extremum Problems
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Author : Igor Vladimirovich Girsanov
language : en
Publisher:
Release Date : 1972
Lectures On Mathematical Theory Of Extremum Problems written by Igor Vladimirovich Girsanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Functional analysis categories.
The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.
Lectures On Mathematical Theory Of Extremum Problems
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Author : I. V. Girsanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Mathematical Theory Of Extremum Problems written by I. V. Girsanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.
Lectures On Mathematical Theory Of Extremum Problems
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Author : I. V Girsanov
language : en
Publisher:
Release Date : 1976-03-01
Lectures On Mathematical Theory Of Extremum Problems written by I. V Girsanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-03-01 with categories.
Theory Of Extremal Problems
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Author :
language : en
Publisher: Elsevier
Release Date : 2009-06-15
Theory Of Extremal Problems written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-15 with Mathematics categories.
Theory of Extremal Problems
Extremum Problems For Bounded Univalent Functions Ii
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Author : Olli Tammi
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1982-03
Extremum Problems For Bounded Univalent Functions Ii written by Olli Tammi and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-03 with Mathematics categories.
Necessary Conditions For An Extremum
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Author : B.N. Pshenichnyi
language : en
Publisher: CRC Press
Release Date : 2020-08-17
Necessary Conditions For An Extremum written by B.N. Pshenichnyi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-17 with Mathematics categories.
This book presents a theory of necessary conditions for an extremum, including formal conditions for an extremum and computational methods. It states the general results of the theory and shows how these results can be particularized to specific problems.
Optimal Control Of Differential Equations
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Author : Nicolae H. Pavel
language : en
Publisher: CRC Press
Release Date : 2020-08-19
Optimal Control Of Differential Equations written by Nicolae H. Pavel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Mathematics categories.
"Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques!"
Advances In Nonlinear Dynamics
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Author : S. Sivasundaram
language : en
Publisher: Taylor & Francis
Release Date : 2023-01-06
Advances In Nonlinear Dynamics written by S. Sivasundaram and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-06 with Technology & Engineering categories.
Dedicated to Professor S. Leela in recognition of her significant contribution to the field of nonlinear dynamics and differential equations, this text consists of 38 papers contributed by experts from 15 countries, together with a survey of Professor Leela's work. The first group of papers examines stability, the second process controls, and the third section contains papers on various topics, including solutions for new classes of systems of equations and boundary problems, and proofs of basic theorems. Many of the featured problems are associated with the ideas and methods proposed and developed by Professor Leela.
Mathematical Optimization Theory And Operations Research
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Author : Anton Eremeev
language : en
Publisher: Springer Nature
Release Date :
Mathematical Optimization Theory And Operations Research written by Anton Eremeev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Connectedness And Necessary Conditions For An Extremum
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Author : Alexey Abramov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Connectedness And Necessary Conditions For An Extremum written by Alexey Abramov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum. Apparently this monograph is the first book in the theory of maxima and minima where topological connectedness is used so widely for this purpose. Its application permits us to obtain new results in this sphere and to consider the classical results from a nonstandard point of view. Regarding the style of the present book it should be remarked that it is comparatively elementary. The author has made constant efforts to make the book as self-contained as possible. Certainly, familiarity with the basic facts of topology, functional analysis, and the theory of optimization is assumed. The book is written for applied mathematicians and graduate students interested in the theory of optimization and its applications. We present the synthesis of the well known Dybovitskii'-Milyutin ap proach for the study of necessary conditions for an extremum, based on functional analysis, and topological methods. This synthesis allows us to show that in some cases we have the following important result: if the Euler equation has no non trivial solution at a point of an extremum, then some inclusion is valid for the functionals belonging to the dual space. This general result is obtained for an optimization problem considered in a lin ear topological space. We also show an application of our result to some problems of nonlinear programming and optimal control.