| Volterra协作种群系统的能控性 |
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| 引用本文： | 顾建军,王晓明. Volterra协作种群系统的能控性[J]. 常熟理工学院学报, 2011, 25(4): 39-44 |
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| 作者姓名： | 顾建军 王晓明 |
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| 作者单位： | 1. 常熟理工学院数学与统计学院,江苏常熟,215500
2. 无锡工艺职业技术学院基础部,江苏宜兴,214206 |
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| 基金项目： | 常熟理工学院青年教师科研启动基金(ky2009107)资助项目 |
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| 摘 要： | 研究了具齐次Neumann边界条件的非线性抛物积微分系统的精确零能控.首先建立对偶的线性化系统Carleman型估计;由此得到线性化系统的能控性;最后根据Kakutanis’s不动点定理证明非线性问题的零能控.
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| 关 键 词： | 零能控 Carleman估计 能观不等式 Kakutanis’s定理 |
Controllability Result for a Volterra Cooperating |
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| GU Jian-jun,WANG xiao-ming. Controllability Result for a Volterra Cooperating[J]. Journal of Changshu Institute of Technology, 2011, 25(4): 39-44 |
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| Authors: | GU Jian-jun WANG xiao-ming |
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| Affiliation: | GU Jian-jun1,WANG xiao-ming2(1.School of Mathematics and Statistics,Changshu Institute of Technology,Changshu 215500,China,2.Department of Basic Courses,Wuxi Institute of Arts & Technology,Yixing 214206,China) |
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| Abstract: | The exact null controllability of a coupled nonlinear parabolic integrodifferential system with homogeneous Neumanm boundary conditions is studied.The authors of the paper establish a Carleman type estimate for adjoint linearized system and then get the controllability of the linearized system.Finally,exact null controllability for the nonlinear problem is obtained by using the Kakutani's fixed point theorem. |
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| Keywords: | null controllability Carleman estimate observability inequality Kakutani's theorem |
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