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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 52卷 / 1-3期

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

页码：199 / 217

页数：19

共 16 条

[1] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF PERIODIC COMPETITION DIFFUSION SYSTEM [J].