含奇异项的脉冲抛物型方程猝灭时间的控制  

Control of the Quenching Time for Impulsive Parabolic Equation with Singular Term

作　　者：孙仁斌[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2011年第2期107-110,共4页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(60574025)

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.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.

关 键 词：脉冲抛物型方程 上下解 猝灭时间 控制 

分 类 号：O175.2[理学—数学]