Structure of Solutions of Variational Problems - Brossura

Libro 11 di 43: SpringerBriefs in Optimization

Zaslavski, Alexander J.

 
9781461463863: Structure of Solutions of Variational Problems

Sinossi

?Structure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. Results on properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals are presented in a clear manner. Solutions, new approaches, techniques and methods to a number of difficult problems in the calculus of variations are illustrated throughout this book. This book also contains significant results and information about the turnpike property of the variational problems. This well-known property is a general phenomenon which holds for large classes of variational problems. The author examines the following in relation to the turnpike property in individual (non-generic) turnpike results, sufficient and necessary conditions for the turnpike phenomenon as well as in the non-intersection property for extremals of variational problems. This book appeals to mathematicians working in optimal control and the calculus as well as with graduate students.???

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Recensione

From the reviews:

“The book contains the most recent collection of various concepts, significant results and techniques about the turnpike property, which is a phenomenon that occurs for large classes of variational problems. ... The book is supplemented by an almost exhaustive bibliography. It would probably be useful to give more applications of the results to specific problems to make the subject and the questions more appealing to non-expert researchers in the field and graduate students.” (Elvira Mascolo, zbMATH, Vol. 1272, 2013)

Contenuti

Preface.- 1. Introduction.- 2. Nonautonomous problems.- 3.Autonomous problems.- 4.Convex Autonomous Problems.- References.- Index.

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Altre edizioni note dello stesso titolo

9781461463870: Structure of Solutions of Variational Problems

Edizione in evidenza

ISBN 10:  1461463874 ISBN 13:  9781461463870
Casa editrice: Not Avail, 2014
Brossura