PERIODIC OPTIMAL-CONTROL FOR COMPETING PARABOLIC VOLTERRA-LOLKA-TYPE SYSTEMS

被引:11
|
作者
HE, FY [1 ]
LEUNG, A [1 ]
STOJANOVIC, S [1 ]
机构
[1] UNIV CINCINNATI,DEPT MATH SCI,CINCINNATI,OH 45221
关键词
OPTIMAL CONTROL; ALTERNATING MONOTONE ITERATIONS;
D O I
10.1016/0377-0427(94)90357-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the optimal harvesting control problem governed by a time-periodic competing parabolic Volterra-Lotka system. We show the existence of an optimal control, and we also find some conditions which enable the characterization of the optimal control in terms of a large parabolic optimality system. We further construct monotone sequences closing in to all appropriate solutions of the periodic optimality system.
引用
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页码:199 / 217
页数:19
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