caa a22 4500 463169069 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10957-007-9206-0 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9206-0 Nonturnpike Optimal Solutions and TheirApproximations in Infinite Horizon [Elektronische Daten] [A. Rapaport, P. Cartigny] Recently, theauthors have proposed a new necessary and sufficient condition for turnpike optimality in calculus of variations with singular Euler equation. The method is based on acharacterization of thevalue function and generalizes thewell known method based on theGreen theorem. Furthermore, it allows theoptimality of acompetition between several turnpikes to be characterized. For aclass of such problems not enjoying theturnpike property, we give an explicit formula for thevalue function and show how to characterize theoptimal solution as thelimiting solution of afamily of perturbed problems satisfying theturnpike property. The considered problems are scalar with infinite horizon. Springer Science+Business Media, LLC, 2007 Calculus of variations nationallicence Infinite horizon nationallicence Viscosity solutions nationallicence Hamilton-Jacobi equation nationallicence Turnpikes nationallicence Rapaport A. UMR Analyse des Systèmes et Biométrie, Montpellier, France aut Cartigny P. GREQAM, Université de la Méditerranée, Marseille, France aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 1-14 0022-3239 134:1<1 2007 134 10957 https://doi.org/10.1007/s10957-007-9206-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9206-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rapaport A. UMR Analyse des Systèmes et Biométrie, Montpellier, France aut NATIONALLICENCE 700 1- Cartigny P. GREQAM, Université de la Méditerranée, Marseille, France aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 1-14 0022-3239 134:1<1 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer