| Comparison Results for a Kind of Impulsive Parabolic Equations with Application to Population Dynamics |
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| 作者姓名： | Jia-wei Dou Kai-tai Li |
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| 作者单位： | [1]College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710062, China [2]Faculty of Science, Xi＇an Jiaotong University, Xi＇an, 710049, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No.10071048）. |
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| 摘 要： | In this paper,for a semi-linear parabolic partial differential equations with impulsive effects,theexistence-comparison theorem and comparison principles are established using the method of upper and lowersolutions.These results are applied to obtain the stability results of the steady-state solutions in a reaction-diffusion equations modelling two competing species with instantaneous stocking.
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| 关 键 词： | 脉冲方程 存在-比拟定理 比拟原理 微分方程 |
| 收稿时间： | 2003-04-22 |
| 修稿时间： | 2003-04-222006-01-24 |
Comparison Results for a Kind of Impulsive Parabolic Equations with Application to Population Dynamics |
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| Jia-wei Dou Kai-tai Li.Comparison Results for a Kind of Impulsive Parabolic Equations with Application to Population Dynamics[J].Acta Mathematicae Applicatae Sinica,2006,22(2):211-218. |
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| Authors: | Jia-wei Dou Kai-tai Li |
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| Institution: | (1) College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China;(2) Faculty of Science, Xi’an Jiaotong University, Xi’an, 710049, China |
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| Abstract: | In this paper, for a semi-linear parabolic partial differential equations with impulsive effects, the existence-comparison theorem and comparison principles are established using the method of upper and lower solutions. These results are applied to obtain the stability results of the steady-state solutions in a reaction-diffusion equations modelling two competing species with instantaneous stocking. |
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| Keywords: | Impulsive parabolic equations upper and lower solution existence-comparison theorem comparison principle |
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