| 可化约拟线性双曲组带一类非局部边界条件的精确边界能控性 |
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| 引用本文： | 徐玉兰,丰小妍,豆艳萍.可化约拟线性双曲组带一类非局部边界条件的精确边界能控性[J].数学年刊A辑,2009,30(6). |
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| 作者姓名： | 徐玉兰 丰小妍 豆艳萍 |
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| 作者单位： | 上海大学数学系,上海,200444 |
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| 基金项目： | 上海市重点学科建设基金(No.J50101)资助的项目 |
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| 摘 要： | 先证明了一类非线性积分方程解的存在唯一性,利用此结果,建立了可化约拟线性双曲组带一类非局部边界条件的单侧精确边界能控性.
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| 关 键 词： | 非局部边界条件 精确边界能控性 拟线性双曲组 半整体C~1解 |
Exact Boundary Controllability for Reducible Quasi-linear Hyperbolic System with a Class of Nonlocal Boundary Conditions |
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| XU Yulan,FENG Xiaoyan,DOU Yanping.Exact Boundary Controllability for Reducible Quasi-linear Hyperbolic System with a Class of Nonlocal Boundary Conditions[J].Chinese Annals of Mathematics,Series A,2009,30(6). |
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| Authors: | XU Yulan FENG Xiaoyan DOU Yanping |
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| Abstract: | By the existence and uniqueness theorem of the solution to a class of nonlinear integral equations, the exact boundary controllability for reducible quasi-linear hyperbolic systems with a class of nonlocal boundary conditions is established. |
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| Keywords: | Nonlocal boundary conditions Exact boundary controllability Quasi-linear hyperbolic system Semi-global C~1 solution |
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