Structure of Solutions of Variational Problems

by Alexander J. Zaslavski

?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. aResults 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 variationsa are illustrated throughout this book. This book also contains significant results and information about the turnpike property of the variational problems.aThis 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 ain individuala (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 aworking in optimal control and the calculus asa well as with graduate students. "

121 pages, Paperback

First published January 1, 2013