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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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【Citations】
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1 LI Hui,WANG Yi-fei(College of Mathematics,Beihua University,Jilin 132012,China);Stability and periodic solution for a diffusive model with time delay and functional response[J];Journal of Northeast Normal University(Natural Science Edition);2008-02
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【Co-citations】
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1 Zhang Zhiyue, Wei Hong (The Basic teaching Department of Inner Mongolian Polytechnic University);GLOBAL DIE-OUT PROBLEM FOR THE SOLUTIONS OF A CLASS NONLINEAR PARABOLIC SYSTEM[J];JOURNAL OF ANHUI INSTITUTE OF ARCHITECTURE;1998-01
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3 LI Yan-hong,ZHAO Ming(College of Mathematics,Beihua University,Jilin 132013,China);Dynamics behavior of a non-autonomous preying model of one prey and tow competitive predator[J];Journal of Northeast Normal University(Natural Science Edition);2009-01
4 XU Tian-hua,MA Li-rong,SHUAI Wei-cheng(Department of Mathematics,Sichuan Nationality University,Kangding 626001,China);The Existence and Stability of Periodic Solution for a Competitor-Competitor-Mutualistdiffusive Model[J];Journal of Guangxi University for Nationalities(Natural Science Edition);2009-03
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8 ZHAO Ming,CHENG Rong-fu(College of Mathematics,Beihua University,Jilin 132013,Jilin Province,China);Existence of Periodic Solution of a Food Chain System with Biocontrol and Ratio Functional Response[J];Journal of Jilin University(Science Edition);2009-04
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10 CHEN Shu-min,Huang Tao(Department of Computer Science,Zhaoqing University,Zhaoqing,Guangdong 526061);Extinction of the Solution on a Type of Parabolic Equation[J];Journal of Mianyang Normal University;2007-08
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1 BAI Ling1,2,WANG Ke1(1Department of Mathmetics,Northeast Normal University,Changchun 130024,China;2Institute of Mathmetics Science,Jilin University, Changchun 130061,China);Existence of positive periodic solution for ratio-dependent functional response food chain system[J];Journal of Northeast Normal University (Natural Science Edition);2003-01
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