LEADER 02718nam 2200505 a 450 001 9910739440603321 005 20200520144314.0 010 $a1-299-33740-6 010 $a1-4614-6387-4 024 7 $a10.1007/978-1-4614-6387-0 035 $a(OCoLC)834544693 035 $a(MiFhGG)GVRL6XJO 035 $a(CKB)2670000000336417 035 $a(MiAaPQ)EBC1106323 035 $a(EXLCZ)992670000000336417 100 $a20130111d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aStructure of solutions of variational problems /$fAlexander J. Zaslavski 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (viii, 115 pages) 225 0$aSpringerBriefs in optimization,$x2190-8354 300 $a"ISSN: 2190-8354." 300 $a"ISSN: 2191-575X (electronic)." 311 $a1-4614-6386-6 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Introduction -- 2. Nonautonomous problems -- 3.Autonomous problems -- 4.Convex Autonomous Problems -- References -- Index. 330 $aStructure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line.  Results on properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals are presented in a clear manner. Solutions, new approaches, techniques and methods to a number of difficult problems in the calculus of variations  are illustrated throughout this book. This book also contains significant results and information about the turnpike property of the variational problems. This well-known property is a general phenomenon which holds for large classes of variational problems. The author examines the following in relation to the turnpike property  in individual  (non-generic) turnpike results, sufficient and necessary conditions for the turnpike phenomenon as well as in the non-intersection property for extremals of variational problems. This book appeals to mathematicians  working in optimal control and the calculus as  well as with graduate students. 410 0$aSpringerBriefs in optimization. 606 $aCalculus of variations 615 0$aCalculus of variations. 676 $a516.3 676 $a516.36 700 $aZaslavski$b Alexander J$0721713 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739440603321 996 $aStructure of Solutions of Variational Problems$93552709 997 $aUNINA