Structure of Solutions of Variational Problems
By: by Alexander J. Zaslavski
Contributors: SpringerLink (Online service)
Series: SpringerBriefs in Optimization
Publisher: Springer New York; Imprint: Springer
Published: 2013
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 115
ISBN-13: 9781461463870
Subjects: Functional equations; Global analysis (Mathematics); Calculus of Variations and Optimal Control; Optimization; Algorithm Analysis and Problem Complexity; Difference and Functional Equations; Analysis; Mathematics; Mathematical optimization; Computer software
Description: ​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.​​​
Table of contents: title: Preface; title: 1. Introduction; title: 2. Nonautonomous problems; title: 3.Autonomous problems; title: 4.Convex Autonomous Problems; title: References; title: Index.