| 一类反应扩散方程组的解 |
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| 引用本文： | 陈莉敏,丁建中. 一类反应扩散方程组的解[J]. 高师理科学刊, 2008, 28(2): 18-20 |
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| 作者姓名： | 陈莉敏 丁建中 |
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| 作者单位： | 1. 常州工程职业技术学院,基础部,江苏,常州,213164
2. 南京理工大学,理学院,江苏,南京,210094 |
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| 摘 要： | 讨论了一类非线性抛物方程组{ut=d1△u-a11u+∫Ωk(x,ξ)v(ξ,t)dξ(x,t)∈Ωx(0,∞) vt=d2△v-α22v+g(u) Bu=α(x)u/n+β(x)u=0 x∈Ω Bv=α(x)u/n+β(x)v=0 u(x,0)=u0(x),v(x,0)=v0(x) x∈Ω解的性质,利用微分方程上下解方法证明初值适当小时,方程存在整体解.推广了相关文献所给方程组的结果.
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| 关 键 词： | 非线性 反应扩散方程 上下解 |
| 文章编号： | 1007-9831(2008)02-0018-03 |
| 修稿时间： | 2007-10-19 |
The solution for one kind of integrodifferential reaction-diffusion equations |
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| CHEN Li-min,DING Jian-zhong. The solution for one kind of integrodifferential reaction-diffusion equations[J]. Journal of Science of Teachers＇College and University, 2008, 28(2): 18-20 |
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| Authors: | CHEN Li-min DING Jian-zhong |
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| Abstract: | Discussed some properties of solutions about one kind of nonlinear parabolic equations {ut=d1△u-a11u+∫Ωk(x,ξ)v(ξ,t)dξ(x,t)∈Ωx(0,∞) vt=d2△v-α22v+g(u) Bu=α(x)u/n+β(x)u=0 x∈Ω Proved that the whole solution exists when initial Bv=α(x)u/n+β(x)v=0 u(x,0)=u0(x),v(x,0)=v0(x) x∈Ω value is small enough by method of super,inferior solution of differential equation,expand the answer of some preference. |
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| Keywords: | nonlinear reaction-diffusion equations super inferior solution |
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