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《Journal of Northeast Normal University(Natural Science Edition)》 2009-02
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Controling of extinction time for semilinear impulsive parabolic equation with absorption term

SUN Ren-bin,HU Jun-hao(College of Computer Science,Southcenter University for Nationalities,Wuhan 430074,China)  
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.
【Fund】: 国家自然科学基金资助项目(60574025)
【CateGory Index】: O175.26
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