| 非线性耦合系统的非同时熄灭 |
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| 引用本文： | 王利珍.非线性耦合系统的非同时熄灭[J].德州学院学报,2008,24(4):21-22. |
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| 作者姓名： | 王利珍 |
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| 作者单位： | 山东工商学院数学与信息科学学院,山东烟台,264005 |
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| 摘 要： | 研究耦合系统的正解Wt=Wxx-2WX^2W^-1＋W^2-p1Z^q1，Zt=Zxx-2Zx^2Z^-1＋W^-p2Z^2-q2的正解的非同时熄灭问题．证明了W熄灭而Z不熄灭的充要条件是：P1〉1且P2〈p1-1．
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| 关 键 词： | 熄灭 非线性抛物型方程 爆破 |
Non-simultaneous Quenching for a Nonlinear Coupled System |
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| WANG Li-zhen.Non-simultaneous Quenching for a Nonlinear Coupled System[J].Journal of Dezhou University,2008,24(4):21-22. |
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| Authors: | WANG Li-zhen |
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| Institution: | WANG Li-zhen(Mathemati & Information Science College,Sh,ong Institute of Business , Technology,Yantai Sh,ong 264005,China) |
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| Abstract: | In this paper we study the possibility of non-simultaneous quenching for positive solution of a fully coupled system:Wt=Wxx-2W2xW-1+W2-p1Z-q1,Zt=Zxx-2Z2xZ-1+W-p2Z2-q2.We prove that if W quenches and Z can fail to quench if and only if p1>1 and.p2
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| Keywords: | quenching nonlinear parabolic system blow-up |
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