| 脉冲抛物型方程解的爆破时间的控制 |
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| 引用本文： | 孙仁斌,胡军浩. 脉冲抛物型方程解的爆破时间的控制[J]. 云南大学学报(自然科学版), 2007, 29(1): 16-19 |
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| 作者姓名： | 孙仁斌 胡军浩 |
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| 作者单位： | 1. 中南民族大学,计算机科学学院,湖北,武汉,430074
2. 华中科技大学,控制科学与工程系,湖北,武汉,430074 |
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| 摘 要： | 考虑含有脉冲的半线性反应扩散方程的初边值问题.利用上下解原理得到解的存在与唯一性.建立比较原理,由此通过控制脉冲源与反应函数使解在有限时刻发生爆破,并进一步控制解的爆破时刻的区间范围.
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| 关 键 词： | 脉冲 反应扩散方程 存在与唯一性 爆破时刻 控制 |
| 文章编号： | 0258-7971(2007)01-0016-04 |
| 修稿时间： | 2005-10-18 |
Controlling of blow-up time for impulsive parabolic equation |
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| SUN Ren-bin,HU Jun-hao. Controlling of blow-up time for impulsive parabolic equation[J]. Journal of Yunnan University(Natural Sciences), 2007, 29(1): 16-19 |
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| Authors: | SUN Ren-bin HU Jun-hao |
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| Affiliation: | 1. College of Computer Science, Southcenter University for Nationalities, Wuhan 430074, China;2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | An impulsive semilinear reactive diffusive equation subject to Dirichlet boundary condition is considered.The existence and uniqueuess are proved by using upper and lower solutions.Moreover,using comparing theorem it can be controlled solution to blow-up in finite time and the interval range of blowing-up time by controlling impulsive sources and reactive function. |
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| Keywords: | impulse reactive diffusive equation existence and uniqueness blow-up control |
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