Sufficient conditions for infinite-horizon calculus of variations problems

被引：0
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作者：
Blot, Joël [1 ]
Hayek, Naïla [1 ,2 ]
机构：
[1] CERMSEM, M.S.E., Université de Paris 1 Panthéon-Sorbonne, 106-112 boulevard de l'Hôpital, 75647 Paris Cedex 13, France
[2] L.I.B.R.E., Faculté de Droit et des Sciences Économiques, Université de Franche-Comté, avenue de l'Observatoire, 25030 Besançon Cedex, France
来源：
| 2000年 / EDP Sciences卷
关键词：
Boundary conditions - Functions - Hamiltonians - Integral equations - Lagrange multipliers - Mathematical models - Optimization - Partial differential equations - Set theory - Variational techniques;
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摘要：
After a brief survey of the literature about sufficient conditions, we give different sufficient conditions of optimality for infinite-horizon calculus of variations problems in the general (non concave) case. Some sufficient conditions are obtained by extending to the infinite-horizon setting the techniques of extremal fields. Others are obtained in a special case of reduction to finite horizon. The last result uses auxiliary functions. We treat five notions of optimality. Our problems are essentially motivated by macroeconomic optimal growth models.
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