@article{COCV_1997__2__1_0, author = {G\'amez, J. L. and Montero, J. A.}, title = {Uniqueness of the optimal control for a {Lotka-Volterra} control problem with a large crowding effect}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {1--12}, publisher = {EDP-Sciences}, volume = {2}, year = {1997}, mrnumber = {1440076}, zbl = {0868.49004}, language = {en}, url = {http://www.numdam.org/item/COCV_1997__2__1_0/} }
TY - JOUR AU - Gámez, J. L. AU - Montero, J. A. TI - Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 1997 SP - 1 EP - 12 VL - 2 PB - EDP-Sciences UR - http://www.numdam.org/item/COCV_1997__2__1_0/ LA - en ID - COCV_1997__2__1_0 ER -
%0 Journal Article %A Gámez, J. L. %A Montero, J. A. %T Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect %J ESAIM: Control, Optimisation and Calculus of Variations %D 1997 %P 1-12 %V 2 %I EDP-Sciences %U http://www.numdam.org/item/COCV_1997__2__1_0/ %G en %F COCV_1997__2__1_0
Gámez, J. L.; Montero, J. A. Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect. ESAIM: Control, Optimisation and Calculus of Variations, Tome 2 (1997), pp. 1-12. http://www.numdam.org/item/COCV_1997__2__1_0/
[1] Fixed points equations and nonlinear eigenvalue problems in ordered banach spaces, SIAM review, 18, 4, October 1976, 620-709. | MR | Zbl
:[2] Some applications of the method of super and subsolutions, Lect. Not. Math., 782, Springer-Verlag, 1980, 16-42. | MR | Zbl
and :[3] Bifurcation of steady-state solutions in predator-prey and competition systems, Proc. of the Roy. Soc. Edinburg, 97, 1984, 21-34. | MR | Zbl
and :[4] An optimal control problem for a nonlinear elliptic equation arising from population dynamics, in Calculus of Variation, Applications and Computations, Longman, Pitman Research Notes in Mathematics Series, C. Bandle, J. Bemelmans, M. Chipot, J. Saint Jean Paulin and I. Shafrir, editors, 326, 1995, 35-40. | MR | Zbl
, and :[5] Study of a nonlinear optimal control problem for diffusive Volterra-Lotka equations, to appear.
, and :[6] Elliptic Partial Differential Equations of Second Order, 2nd Edition, Springer-Verlag, Berlin, 1983. | MR | Zbl
and :[7] Periodic-parabolic boundary value problems and posuivity, Longman Group U.K. Limited, 1991. | MR | Zbl
:[8] Periodic optimal control for parabolic Volterra-Lotka type equations, Math. Methods Appl. Sci., 18, 1995, 127-146. | MR | Zbl
, and :[9] Systems of nonlinear partial differential equations, The Netherlands, Kluwer Acacemic Publishers, 1989. | MR | Zbl
:[10] Direct methods for some distributed games, Diff. and Int. Eqns., 3, 1990, 1113-1125. | MR | Zbl
and :[11] Optimal control for elliptic Volterra-Lotka equations, J. Math. Anal. Appl., 173 1993, 603-619. | MR | Zbl
and :[12] Positive solutions to general elliptic competition models, Diff. and Int. Eqns., 4, 1991, 817-834. | MR | Zbl
and :[13] Optimal damping control and nonlinear elliptic Systems, SIAM J. Control Optim., 29, 1991, 594-608. | MR | Zbl
:[14] Shock waves and reaction-diffusion equations, NewYork, Springer, 1983. | MR | Zbl
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