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中文摘要：
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．
英文摘要：
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 wilt 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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