A uniqueness result for an optimal control problem on a diffusive elliptic Volterra-Lotka type equation
type: Item
instance of: scholarly article
title: A uniqueness result for an optimal control problem on a diffusive elliptic Volterra-Lotka type equation
zbMATH Open document ID: 0949.49001
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-12-05T00:00:00Z
review text: This paper deals with optimal control in biological growing species where the model is an elliptic equation. A sub-super solution method is developed in order to approximate the optimal control. Existence and specially uniqueness problems are also solved by the author.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35J99
zbMATH DE Number: 1429692
zbMATH Keywords: existence
zbMATH Keywords: lower-upper solutions
zbMATH Keywords: optimal control
zbMATH Keywords: biological growing species
zbMATH Keywords: elliptic equation
zbMATH Keywords: uniqueness
reviewed by: Yves Cherruault
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6638
OpenAlex ID: W2094844294
cites work: Q3871265
cites work: Bifurcation of steady-state solutions in predator-prey and competition systems
cites work: Study of an Optimal Control Problem for Diffusive Nonlinear Elliptic Equations of Logistic Type
cites work: Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect
cites work: Q4040640
cites work: Periodic optimal control for parabolic Volterra‐Lotka type equations
cites work: Q3998030
cites work: APPLICATION OF DISTRIBUTED PARAMETER CONTROL MODEL IN WILDLIFE DAMAGE MANAGEMENT
cites work: Q4041085
cites work: Optimal control for elliptic Volterra-Lotka type equations
cites work: Positive solutions to general elliptic competition models
cites work: Q5628581
DOI: 10.1006/JMAA.1999.6638
Recommended article: Optimal control for elliptic Volterra-Lotka type equations
Recommended article: Q4797015
Recommended article: Q2764213
Recommended article: Study of an Optimal Control Problem for Diffusive Nonlinear Elliptic Equations of Logistic Type
Recommended article: Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect
Recommended article: The variational stability of an optimal control problem for Volterra-type equations
Recommended article: Q3146818
Recommended article: An optimal control problem for the multidimensional diffusion equation with a generalized control variable
Recommended article: Q4804781
Recommended article: An optimal control problem for some nonlinear elliptic equations with unbounded coefficients
description: scientific article; zbMATH DE number 1429692