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Structure of Solutions of Variational Problems

Alexander J. Zaslavski (Autor)

Buch | Softcover

115 Seiten

2013 | 2013 ed.
Springer-Verlag New York Inc.
978-1-4614-6386-3 (ISBN)

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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. 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.

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

Reihe/Serie	SpringerBriefs in Optimization
Zusatzinfo	VIII, 115 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
Schlagworte	agreeable solution • Analysis • approximate solution • asymptotic turnpike property • autonomous problems • nonintersection property • turnpike property
ISBN-10	1-4614-6386-6 / 1461463866
ISBN-13	978-1-4614-6386-3 / 9781461463863
Zustand	Neuware