Le Van, C.Boucekkine, R.Saglam, C.2016-02-082016-02-0820070938-2259http://hdl.handle.net/11693/23383In this paper, we make use of the Sobolev space W{1,1}ℝ+, ℝn to derive at once the Pontryagin conditions for the standard optimal growth model in continuous time, including a necessary and sufficient transversality condition. An application to the Ramsey model is given. We use an order ideal argument to solve the problem inherent to the fact that L 1 spaces have natural positive cones with no interior points. © Springer-Verlag 2007.EnglishOptimal controlOrder idealSobolev spacesTransversality conditionsArticle10.1007/s00199-006-0118-21432-0479