Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Leung (1989)
Systems of Nonlinear Partial Differential Equations
J. Simon (1986)
Compact sets in the spaceLp(O,T; B)Annali di Matematica Pura ed Applicata, 146
O. Arino, Juan-Aurelio Montero-Sánchez (2000)
Optimal control of a nonlinear elliptic population systemProceedings of the Edinburgh Mathematical Society, 43
A. Leung (1989)
Systems of Nonlinear Partial Differential Equations: Applications to Biology and Engineering
L. Evans (1941)
PARTIAL DIFFERENTIAL EQUATIONSBulletin of The London Mathematical Society, 20
A. Cañada, J. Gámez, J. Montero (1998)
Study of an optimal control problem for diffusive nonlinear elliptic equations of logistic typeProceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 3
C. Pao (1993)
Nonlinear parabolic and elliptic equations
A. Leung, S. Stojanovic (1993)
Optimal Control for Elliptic Volterra-Lotka Type EquationsJournal of Mathematical Analysis and Applications, 173
O. Arino, William Smith (1998)
MIGRATION IN AGE STRUCTURED POPULATION DYNAMICSMathematical Models and Methods in Applied Sciences, 08
Jia Chao (2005)
On the Optimal Control Problem of a Nonlinear Elliptic Population SystemActa Automatica Sinica
M. Owen, J. Sherratt (1999)
MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURSMathematical Models and Methods in Applied Sciences, 09
S. Lenhart, J. Montero (2001)
OPTIMAL CONTROL OF HARVESTING IN A PARABOLIC SYSTEM MODELING TWO SUBPOPULATIONSMathematical Models and Methods in Applied Sciences, 11
A. Cañada, Pierre Magal, J. Montero (2001)
Optimal Control of Harvesting in a Nonlinear Elliptic System Arising from Population DynamicsJournal of Mathematical Analysis and Applications, 254
An optimal control problem for a coupled nonlinear parabolic population system is considered. The existence and uniqueness of the positive solution for the system is shown by the method of upper and lower solutions. An explicit prior bound of solutions to the system is given by considering an auxiliary coupled linear system. The existence of the optimal control is proved and the characterization of the optimal control is established.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jan 1, 2007
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.