| 含奇异项的脉冲抛物型方程猝灭时间的控制 |
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| 引用本文： | 孙仁斌.含奇异项的脉冲抛物型方程猝灭时间的控制[J].中南民族大学学报(自然科学版),2011,30(2):107-110. |
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| 作者姓名： | 孙仁斌 |
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| 作者单位： | 中南民族大学数学与统计学学院,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 考虑了含奇异项的脉冲半线性抛物型方程的狄利克莱边值问题,首先构造出问题的上下解来得到解的存在性与唯一性,其次利用上下解在有限时刻猝灭的性质,并通过对脉冲源和反应函数的控制来对所讨论问题解的猝灭时间进行控制,使之到达指定的时段.
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| 关 键 词： | 脉冲抛物型方程 上下解 猝灭时间 控制 |
Control of the Quenching Time for Impulsive Parabolic Equation with Singular Term |
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| Sun Renbin.Control of the Quenching Time for Impulsive Parabolic Equation with Singular Term[J].Journal of South-Central Univ for,2011,30(2):107-110. |
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| Authors: | Sun Renbin |
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| Institution: | Sun Renbin(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China) |
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| Abstract: | In this paper,we consider an impulsive semilinear parabolic equation with singular term subject to Dirichlet boundary condition.At first we construct upper-lower solutions of this problem to get the existence and uniqueness of the solutions.Secondly we utilize the quality of quenching at finite time of upper-lower solutions to control the quenching time of solution into a desired time interval by the control of impulsive sources and reactive function. |
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| Keywords: | impulsive parabolic equation upper-lower solution quenching time control |
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