# Sufficient conditions for infinite-horizon calculus of variations problems

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 5, page 279-292
- ISSN: 1292-8119

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topBlot, Joël, and Hayek, Naïla. "Sufficient conditions for infinite-horizon calculus of variations problems." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 279-292. <http://eudml.org/doc/197279>.

@article{Blot2010,

abstract = {
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
qcase 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.
},

author = {Blot, Joël, Hayek, Naïla},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Calculus of variations; infinite-horizon problems;
optimal growth theory.; optimal growth theory; infinite horizon problems; sufficient conditions of optimality; techniques of extremal fields},

language = {eng},

month = {3},

pages = {279-292},

publisher = {EDP Sciences},

title = {Sufficient conditions for infinite-horizon calculus of variations problems},

url = {http://eudml.org/doc/197279},

volume = {5},

year = {2010},

}

TY - JOUR

AU - Blot, Joël

AU - Hayek, Naïla

TI - Sufficient conditions for infinite-horizon calculus of variations problems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 5

SP - 279

EP - 292

AB -
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
qcase 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.

LA - eng

KW - Calculus of variations; infinite-horizon problems;
optimal growth theory.; optimal growth theory; infinite horizon problems; sufficient conditions of optimality; techniques of extremal fields

UR - http://eudml.org/doc/197279

ER -

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