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＜電子ブック＞
Turnpike Phenomenon and Symmetric Optimization Problems / by Alexander J. Zaslavski
(Springer Optimization and Its Applications. ISSN:19316836 ; 190)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
本文言語	英語
大きさ	XI, 336 p : online resource
著者標目	*Zaslavski, Alexander J author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Operations research LCSH:Management science FREE:Calculus of Variations and Optimization FREE:Operations Research, Management Science
一般注記	Introduction -- Symmetric Optimization Problems -- Parametric Optimization -- Infinite Dimensional Control -- Symmetric Variational Problems -- Infinite Dimensional Optimal Control -- Optimization problems arising in crystallography -- Discrete dispersive dynamical systems -- References -- Index Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory. This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, such as mathematicians, mathematical economists, and researchers in crystallography, to name just a few HTTP:URL=https://doi.org/10.1007/978-3-030-96973-8

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