| 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):803~810 |
| 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 |
| Exact Boundary Controllability for Reducible Quasi-linear Hyperbolic System with a Class of Nonlocal Boundary Conditions |
| Received:October 21, 2008 Revised:April 23, 2009 |
| DOI： |
| 中文关键词: 非局部边界条件,精确边界能控性,拟线性双曲组,半整体C1 解 |
| 英文关键词:Nonlocal boundary conditions, Exact boundary controllability, Quasi-linear hyperbolic system, Semi-global C1 solution |
| 基金项目: |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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