广义神经传播型非线性拟双曲方程解的爆破 |
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引用本文: | 张健.广义神经传播型非线性拟双曲方程解的爆破[J].应用数学和力学,1989,10(8):679-687. |
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作者姓名: | 张健 |
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作者单位: | 四川师范大学 |
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摘 要: | 本文讨论了广义神经传播型非线性拟双曲方程utt-Δut=F(x,t,u,?u,ut,?ut)分别具Neumann边界和Dirichlet边界的两类混合问题.在非线性部分F(x,t,u,?u,u1,?u1)和初值满足某些条件时,我们得到了解的爆破性质.
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收稿时间: | 1988-05-27 |
Blow-up of Solutions of Nonlinear Pseudo-Hyperbolic Equations of Generalized Nerve Conduction Type |
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Institution: | Sichuan Normal University, Chengdu |
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Abstract: | This paper deals with the two types of mixed problems with respect to Neumann boundary and Dirichlet boundary for nonlinear pseudo-hyperbolic equations of generalized nerve conduction type utt-Δut=F(x,t,u,?u,ut,?ut) when the nonlinear part F(x,t,u,?u,ut,?ut) and the initial values satisfy some conditions, the blow-up properties of the solytions are obtained. |
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