Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect

J. L. Gamez; J. A. Montero

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

  • Volume: 2, page 1-12
  • ISSN: 1292-8119

Abstract

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Uniqueness of the optimal control is obtained by assuming certain conditions on the crowding effect of the species. Moreover, an approximation procedure for the unique optimal control is developed.

How to cite

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Gamez, J. L., and Montero, J. A.. "Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect." ESAIM: Control, Optimisation and Calculus of Variations 2 (2010): 1-12. <http://eudml.org/doc/197283>.

@article{Gamez2010,
abstract = { Uniqueness of the optimal control is obtained by assuming certain conditions on the crowding effect of the species. Moreover, an approximation procedure for the unique optimal control is developed. },
author = {Gamez, J. L., Montero, J. A.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Optimal control / Volterra-Lokta elliptic equations / existence / uniqueness / approximation / lower- and upper-solutions.; admissible control; iterative approximation; optimal control; partial differential equation of Lotka-Volterra type; optimality system},
language = {eng},
month = {3},
pages = {1-12},
publisher = {EDP Sciences},
title = {Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect},
url = {http://eudml.org/doc/197283},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Gamez, J. L.
AU - Montero, J. A.
TI - Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 2
SP - 1
EP - 12
AB - Uniqueness of the optimal control is obtained by assuming certain conditions on the crowding effect of the species. Moreover, an approximation procedure for the unique optimal control is developed.
LA - eng
KW - Optimal control / Volterra-Lokta elliptic equations / existence / uniqueness / approximation / lower- and upper-solutions.; admissible control; iterative approximation; optimal control; partial differential equation of Lotka-Volterra type; optimality system
UR - http://eudml.org/doc/197283
ER -

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