OPTIMAL-CONTROL FOR ELLIPTIC VOLTERRA-LOTKA TYPE EQUATIONS

被引:31
作者
LEUNG, A
STOJANOVIC, S
机构
[1] University of Cincinnati, Department of Mathematical Science, Cincinnati
关键词
D O I
10.1006/jmaa.1993.1091
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An optimal control problem for elliptic Volterra-Lotka type equations is considered. The control problem simulates optimal harvesting of growing species. Under certain assumptions, an optimality system is derived, characterizing optimal control. Constructive analytic procedure is designed providing a complete solution of the optimal control problem in some cases. © 1993 Academic Press, Inc.
引用
收藏
页码:603 / 619
页数:17
相关论文
共 11 条
[1]   ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727
[2]  
[Anonymous], 1971, OPTIMAL CONTROL SYST
[3]  
Barbu V., 1984, RES NOTES MATH, V100
[4]  
FIFE PC, 1979, LECTURE NOTES BIOMAT, V28
[5]   NONLINEAR OPTIMAL-CONTROL PROBLEMS FOR PARABOLIC EQUATIONS [J].
FRIEDMAN, A .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1984, 22 (05) :805-816
[6]  
Ladde G.S., 1985, MONOTONE ITERATIVE T
[7]  
LEUNG A, 1990, DIFFERENTIAL INTEGRA, V3, P1113
[8]  
Leung A.W., 1989, SYSTEMS NONLINEAR PA
[9]  
Rabinowitz, 1982, MATH METHOD APPL SCI, V4, P272
[10]   OPTIMAL DAMPING CONTROL AND NONLINEAR PARABOLIC-SYSTEMS [J].
STOJANOVIC, S .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (5-6) :573-591