18
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Turnpike theorem for a class of set-valued mappings

A class of set-valued mappings

Pages 215-240 | Published online: 18 May 2010

  • Akilov , G.P. and Kutateladze , S.S. 1979 . Ordered vector spaces , Novosibirsk : Nauka .
  • Artstein , Z. and Leizarowitz , A. 1985 . Tracking periodic signals with the overtaking criterion . IEEE Transactions on Automatic Control , 30 : 1122 – 1126 .
  • Carison , D.A. 1990 . The existence of catching-up optimal solutions for a class of infinite horizon optimal control problems with time delay . SIAM Journal on Control and Optimization , 28 : 402 – 422 .
  • Carlson , D.A. , Jabrane , A. and Haurie , A. 1987 . Existence of overtaking solutions to infinite dimensional control problems on unbounded time intervals . SIAM Journal on Control and Optimization , 25 : 1517 – 1541 .
  • Kusraev , A.G. and Kutateladze , S.S. 1987 . Subdifferential calculus , Novosibirsk : Nauka .
  • Kutateladze , S.S. and Rubinov , A.M. 1976 . Minkowski duality and its applications , Novosibirsk : Nauka .
  • Makarov , V.L. and Rubinov , A.M. 1973 . Mathematical theory of economic dynamics and equilibria , Moskow : Nauka . English translation: Springer-Verlag, 1977
  • Mckenzie , L.W. 1976 . Turnpike theory , Vol. 44 , 841 – 866 . Econometrika .
  • Radner , R. 1961 . Path of economic growth that are optimal with regard only to final states; a turnpike theorem . Rev. Econom. Stud. , 28 : 98 – 104 .
  • Rockafellar , R.T. 1970 . Convex analysis , Princeton : Princeton University Press . NJ
  • Rockafellar R.T. Convex algebra and duality in dynamic models of production, in Mathematical models in Economics North-Holland Amsterdam 351 378
  • Rubinov , A.M. 1980 . Superlinear multivalued mappings and their applications in economic mathematical problems , Leningrad : Nauka .
  • Rubinov , A.M. 1982 . On a nonlinear Leontjev type model, Optimization, Institute of Mathematics . Siberian Branch Acad. Nauk SSSR , 32 ( 49 ) : 109 – 127 .
  • Samuelson , P.A. 1965 . A catenary turnpike theorem involving consumption and the golden rule . American Economic Review , 55 ( 49 ) : 486 – 496 .
  • Zaslavski , A.J. 1985 . Asymptotics of optimal trajectories of a Leontjev type model I, Optimization, Institute of Mathematics . Siberian Branch Acad. Nauk SSSR , 36 ( 53 ) : 87 – 100 .
  • Zaslavski , A.J. 1986 . Asymptotic of optimal trajectories of a Leontjev type model II, Optimization, Institute of Mathematics . Siberian Branch Acad. Nauk SSSR. , 37 ( 54 ) : 108 – 120 .
  • Zaslavski , A.J. 1995 . Optimal programs on infinite horizon . SIAM Journal on control and Optimization , 33 ( 54 ) 1,2 to appear in
  • Zaslavski , A.J. 1995 . The existence and structure of extremals for a class of second order infinite horizon variational provlems . Journal of Mathematical Analysis and Applications , 193 ( 54 ) to appear in

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.