| 含吸引项的半线性脉冲抛物型方程熄灭时间的控制 |
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| 引用本文： | 孙仁斌,胡军浩.含吸引项的半线性脉冲抛物型方程熄灭时间的控制[J].东北师大学报(自然科学版),2009,41(2). |
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| 作者姓名： | 孙仁斌 胡军浩 |
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| 作者单位： | 中南民族大学计算机科学学院,湖北,武汉,430074 |
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| 摘 要： | 考虑含吸引项的半线性抛物型方程的第三类初边值问题.首先证明如果没有脉冲,解会在有限时刻熄灭;其次考虑脉冲方程,通过在适当的时候增加脉冲,分段构造上下解,对脉冲源和反应函数加以控制,使解的熄灭时间到达指定的时段.
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| 关 键 词： | 脉冲抛物型方程 吸引项 上下解 熄灭 控制 |
Controling of extinction time for semilinear impulsive parabolic equation with absorption term |
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| SUN Ren-bin,HU Jun-hao.Controling of extinction time for semilinear impulsive parabolic equation with absorption term[J].Journal of Northeast Normal University (Natural Science Edition),2009,41(2). |
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| Authors: | SUN Ren-bin HU Jun-hao |
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| Institution: | SUN Ren-bin,HU Jun-hao(College of Computer Science,Southcenter University for Nationalities,Wuhan 430074,China) |
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| Abstract: | An semilinear parabolic equation with absorption term subject to third boundary condition is considered.Firstly,it is proved the solution of the problem without impulsion will extinguish in finite time.Secondly,the same problem with impulsion is considered.By putting in impulsion at suitable time,the instruction of upper-lower solutions in every interval and the control of impulsive source and reactive function,the extinct time of solution can be controlled into a desired time interval. |
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| Keywords: | impulse parabolic equation absorption term upper-lower solution extinction control |
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