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

[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.

[发布日期] 1994-07-20

[关键词] OPTIMAL CONTROL;ALTERNATING MONOTONE ITERATIONS