| OPTIMAL CONTROL OF GROWTH RATE FOR A CLASS OF POPULATION SYSTEMS |
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| 引用本文： | WUZhuoqun GAOHang 等. OPTIMAL CONTROL OF GROWTH RATE FOR A CLASS OF POPULATION SYSTEMS[J]. 系统科学与复杂性, 2003, 16(1): 53-66 |
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| 作者姓名： | WUZhuoqun GAOHang 等 |
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| 作者单位： | [1]DepartmentofMathematics,JilinUniversity,Changchun130023,China [2]DepartmentofMathematics,NortheastNormalUniversity,Changchun130024,China |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China. |
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| 摘 要： | In this paper,we discuss the optimal control of growth rate for a class of population systems governed by nonlinear degenerate parabolic equations.Given an ap-propriate cost functional,we prove the existence of the optimal growth rate and give some necessary conditions for optimal growth rate.
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| 关 键 词： | 存在性 必要条件 最优控制 非线性退化抛物线方程 最优增长速率 人口 optimal growth rate population system |
OPTIMAL CONTROL OF GROWTH RATE FOR A CLASS OF POPULATION SYSTEMS |
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| WU Zhuoqun YIN Jingxue. OPTIMAL CONTROL OF GROWTH RATE FOR A CLASS OF POPULATION SYSTEMS[J]. Journal of Systems Science and Complexity, 2003, 16(1): 53-66 |
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| Authors: | WU Zhuoqun YIN Jingxue |
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| Abstract: | In this paper, we discuss the optimal control of growth rate for a class of population systems governed by nonlinear degenerate parabolic equations. Given an appropriate cost functional, we prove the existence of the optimal growth rate and give some necessary conditions for optimal growth rate. |
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| Keywords: | Existence necessary condition optimal growth rate population system. |
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