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Structure of Solutions of Variational Problems

By: Alexander J. Zaslavski (Author)

Ksh 8,100.00
Format :

Format(s): DRM PDF

ISBN-13: 9781461463870

Publisher: Springer New York

Imprint: Springer

Publication Date: February 11th, 2013

Country of Publication: US

Language: English

Physical Edition EAN: 9781461463863

Category: Calculus & mathematical analysis , Differential calculus & equations , Calculus of variations , Algorithms & data structures

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  • Description

  • Author Bio

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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