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008 130220s2013 xxu| s |||| 0|eng d
020 _a9781461463870
_9978-1-4614-6387-0
024 7 _a10.1007/978-1-4614-6387-0
_2doi
050 4 _aQA315-316
050 4 _aQA402.3
050 4 _aQA402.5-QA402.6
072 7 _aPBKQ
_2bicssc
072 7 _aPBU
_2bicssc
072 7 _aMAT005000
_2bisacsh
072 7 _aMAT029020
_2bisacsh
082 0 4 _a515.64
_223
100 1 _aZaslavski, Alexander J.
_eauthor.
245 1 0 _aStructure of Solutions of Variational Problems
_h[electronic resource] /
_cby Alexander J. Zaslavski.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aVIII, 115 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Optimization,
_x2190-8354
505 0 _aPreface -- 1. Introduction -- 2. Nonautonomous problems -- 3.Autonomous problems -- 4.Convex Autonomous Problems -- References -- Index.
520 _aStructure 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.
650 0 _aMathematics.
650 0 _aAlgorithms.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aDifference equations.
650 0 _aFunctional equations.
650 0 _aCalculus of variations.
650 1 4 _aMathematics.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aAlgorithm Analysis and Problem Complexity.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461463863
830 0 _aSpringerBriefs in Optimization,
_x2190-8354
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-6387-0
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c44624
_d44624