| 一类奇摄动反应扩散问题解的渐近性态 |
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| 引用本文： | 莫嘉琪 张伟江. 一类奇摄动反应扩散问题解的渐近性态[J]. 安徽师范大学学报(自然科学版), 1998, 21(1): 1-5,10 |
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| 作者姓名： | 莫嘉琪 张伟江 |
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| 作者单位： | 安徽师范大学数学系;上海交通大学应用数学系; |
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| 摘 要： | 本文研究了一类奇摄动反应扩散方程组的初始边值问题．利用伸长变量构造了问题的形式渐近解,并用微分不等式理论,证明了解的一致有致性．
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| 关 键 词： | 奇摄动 反应扩散 微分不等式 渐近解 |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION PROBLEM |
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| Mo Jiaqi. ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION PROBLEM[J]. Journal of Anhui Normal University(Natural Science Edition), 1998, 21(1): 1-5,10 |
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| Authors: | Mo Jiaqi |
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| Affiliation: | Department of Mathematics;Anhui Normal University;241000;Wuhu;Anhui;PRC;Department of Applied Mathematics;Shanghai Jiaotong University;200030;Shanghai;PRC |
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| Abstract: | In this paper a class of initial boundary value problems for the singularly perturbed reaction diffusion system is considered. Using the strectched variable, the formal asymptoyic solution of problem is constructed and the uniformly validity of solution is proved by using the differential inequalities. |
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| Keywords: | singular perturbation reaction diffusion differential inequalities asymptotic solution |
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