Structure of Solutions of Variational Problems

Alexander J. Zaslavski

ISBN 10: 1461463866 / ISBN 13: 9781461463863

Published by Springer New York, Springer New York Feb 2013, 2013

About this Item

Neuware -¿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.¿¿¿Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 124 pp. Englisch.

Seller Inventory # 9781461463863

Bibliographic Details

• Title: Structure of Solutions of Variational Problems
• Publisher: Springer New York, Springer New York Feb 2013
• Publication Date: 2013
• Language: English
• ISBN 10: 1461463866
• ISBN 13: 9781461463863
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 8D millimeters 235 millimeters width by 155 millimeters height by 8 millimeters depth
• Weight: 201 grams

About this title

Synopsis

​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.​​​

Review

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)