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一类热方程扰动系统的能控性

Controllability for a class of heat equations with perturbations

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【Author】 ZHOU Zhong-cheng1,LI Ling-fei2,CUI Li-zhi3,WANG Dong-sheng4(1.College of Mathematics and Statistics,Southwest University,Chongqing 400715,China;2.College of Science,Northeast Dianli University,Jilin 132012,China;3.Department of Applied Mathematics,Changchun Taxation College,Changchun 130117,China;4.College of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

【机构】西南大学数学与统计学院；东北电力大学理学院；长春税务学院应用数学系；东北师范大学数学与统计学院重庆400715；吉林吉林132012；吉林长春130117；吉林长春130024；

【摘要】研究了一类热方程扰动系统的能控性问题.首先得到了系统的逼近能控性;然后采用变分方法对系统线性化,再结合解映射的性质,应用推广的隐函数定理,证明系统的局部零能控性;最后给出系统零能控的结论.更多还原

【Abstract】 This paper is concerned with the controllability problem for a class of heat equations with perturbations.First,approximate controllability for the perturbed system is provided.Then,the system is linearized by variational approach,the local null controllability is proved by applying a generalized implicit function theorem and combining the property of the solution mapping.At last,the null controllability of the system is given.更多还原

【关键词】隐函数定理；变分方程；逼近能控性；零能控性；
【Key words】 generalized implicit function theorem； variation equation； approximate controllability； null controllability；

【基金】国家自然科学基金资助项目(10571143);西南师范大学校内青年基金资助项目(SWNUQ2005031)

【文献出处】东北师大学报(自然科学版) ,Journal of Northeast Normal University(Natural Science Edition) , 编辑部邮箱 ,2007年02期

【分类号】O231.2
【被引频次】1
【下载频次】69

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