<p>From the reviews:</p>“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)
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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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.
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Preface.- 1. Introduction.- 2. Nonautonomous problems.- 3.Autonomous problems.- 4.Convex Autonomous Problems.- References.- Index.
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)
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Looks into the current progress made in the study of the structure of approximate solutions of variational problems Establishes a non-intersection property for optimal solutions over infinite horizon Launches the strong turnpike property for autonomous variational problems
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Produktdetaljer
ISBN
9781461463863
Publisert
2013-02-09
Utgiver
Vendor
Springer-Verlag New York Inc.
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Forfatter