| POSITIVENESS THEOREMS OF SOLUTIONS FOR SEVERAL DIFFERENTIAL INEQUALITIES AND THEIR APPLICATIONS |
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| 引用本文： | 金海,李正元,叶其孝. POSITIVENESS THEOREMS OF SOLUTIONS FOR SEVERAL DIFFERENTIAL INEQUALITIES AND THEIR APPLICATIONS[J]. 数学物理学报(B辑英文版), 2002, 22(2): 227-240. DOI: 10.1016/S0252-9602(17)30476-9 |
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| 作者姓名： | 金海 李正元 叶其孝 |
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| 作者单位： | Jin HaiDepartment of Mathematics，Beijing Institute of Education，Beijing 100044，ChinaLi Zhengyuan School of Mathematical Sciences，Peking University，Beijing 100871，ChinaYe Qixiao Department of Applied Mathematics，Beijing Institute of Technology，Beij |
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| 基金项目： | Research supported by the National Natural Science Foundation of China (19971004, 19871005). |
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| 摘 要： | IIntroductlonMny mathematical models rom physics,chemistry biology,economics etc．are so calledre。ilo。dlAslon srstems．ljtlstence of tr。ling w。front solutions(TWFSs)for these sys－terns rdects Int。aCtions among components ofsystems and TTSs have their own physicalme。lug(see【l])．The upper。d ic。r solutions method Is often used to pro、the。lstenceofTWFSs for certain concrete models．Difficulties consist ofconstrudlug concrete upper andlower solutions and provingtheboundedness and…
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| 收稿时间： | 2000-02-14 |
POSITIVENESS THEOREMS OF SOLUTIONS FOR SEVERAL DIFFERENTIAL INEQUALITIES AND THEIR APPLICATIONS |
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| Jin Hai. POSITIVENESS THEOREMS OF SOLUTIONS FOR SEVERAL DIFFERENTIAL INEQUALITIES AND THEIR APPLICATIONS[J]. Acta Mathematica Scientia, 2002, 22(2): 227-240. DOI: 10.1016/S0252-9602(17)30476-9 |
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| Authors: | Jin Hai |
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| Affiliation: | Jin HaiDepartment of Mathematics,Beijing Institute of Education,Beijing 100044,ChinaLi Zhengyuan School of Mathematical Sciences,Peking University,Beijing 100871,ChinaYe Qixiao Department of Applied Mathematics,Beijing Institute of Technology,Beij |
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| Abstract: | In this paper, positiveness theorems of solutions for several differential inequalities are proved and are used to prove the existence of traveling wave front solutions of reaction-diffusion systems. As an application, two examples are given. |
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| Keywords: | Differential inequality reaction-diffusion system |
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