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＜E-Book＞
Structure of Solutions of Variational Problems / by Alexander J. Zaslavski
(SpringerBriefs in Optimization. ISSN:2191575X)

Edition	1st ed. 2013.
Publisher	(New York, NY : Springer New York : Imprint: Springer)
Year	2013
Language	English
Size	VIII, 115 p : online resource
Authors	*Zaslavski, Alexander J author SpringerLink (Online service)
Subjects	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Difference equations LCSH:Functional equations LCSH:Algorithms LCSH:Mathematical analysis FREE:Calculus of Variations and Optimization FREE:Difference and Functional Equations FREE:Algorithms FREE:Analysis
Notes	Preface -- 1. Introduction -- 2. Nonautonomous problems -- 3.Autonomous problems -- 4.Convex Autonomous Problems -- References -- Index 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 HTTP:URL=https://doi.org/10.1007/978-1-4614-6387-0

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