| 一类一阶拟线性双曲型方程组的精确边界能控性 |
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| 引用本文： | 徐 莹,于立新.一类一阶拟线性双曲型方程组的精确边界能控性[J].烟台大学学报(自然科学与工程版),2014(2):84-89. |
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| 作者姓名： | 徐 莹 于立新 |
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| 作者单位： | 烟台大学数学与信息科学学院,山东烟台264005 |
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| 基金项目： | 山东省自然科学基金资助项目（ZR2010AM012）. |
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| 摘 要： | 考虑了由3个方程组成的一阶拟线性对角型方程组.在边界条件中对角变量没有任何耦合关系的情况下,通过建立一类二阶拟线性双曲型方程组的局部精确边界能控性,得到了该类方程组的单侧精确边界能控性以及具有较少控制的双侧精确边界能控性.
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| 关 键 词： | 精确边界能控性 二阶拟线性双曲型方程组 混合初边值问题 |
Exact Boundary Controllability for a Kind of First Order Quasilinear Hyperbolic Systems |
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| XU Ying,YU Li-xin.Exact Boundary Controllability for a Kind of First Order Quasilinear Hyperbolic Systems[J].Journal of Yantai University(Natural Science and Engineering edirion),2014(2):84-89. |
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| Authors: | XU Ying YU Li-xin |
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| Institution: | (School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China) |
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| Abstract: | We consider the first order quasilinear hyperbolic systems of diagonal form which is composed of three e- quations. In the case that the diagonal variables are decoupled in the boundary conditions, by establishing the local exact boundary controllability for a kind of second order quasilinear hyperbolic systems, we obtain the one-sided lo- cal exact boundary controllability and two-sided local exact boundary controllability with less controls. |
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| Keywords: | exact boundary controllability second order quasilinear hyperbolic system mixed initial-boundaryvalue problem |
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