辽东学院学报:自然科学版
遼東學院學報:自然科學版
료동학원학보:자연과학판
Journal of Liaodong University:Natural Sciences
2012年
1期
48-51
,共4页
种群系统%最优边界控制%变分不等式%最优性组
種群繫統%最優邊界控製%變分不等式%最優性組
충군계통%최우변계공제%변분불등식%최우성조
population system%optimal boundary control%variational inequalities%optimality system
文章讨论了一类与年龄相关且具有加权总规模的非线性时变种群系统边界控制为最优的必要条件,得到了由积分-偏微分方程和变分不等式组成的最优性组.
文章討論瞭一類與年齡相關且具有加權總規模的非線性時變種群繫統邊界控製為最優的必要條件,得到瞭由積分-偏微分方程和變分不等式組成的最優性組.
문장토론료일류여년령상관차구유가권총규모적비선성시변충군계통변계공제위최우적필요조건,득도료유적분-편미분방정화변분불등식조성적최우성조.
The necessary condition for an optimal boundary control problem for a class of the nonlinear and time-varying population system with age-dependence and weighted size is discussed.The optimality system which consists of integro-partial differential equations and variational inequalities is obtained.