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| 一类微分-差分反应扩散方程的渐近解 |
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莫嘉琪,姚静荪
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1. 安徽师范大学数学系,安徽,芜湖,241000;上海高校计算科学院E-研究院上海交通大学研究所,上海,200240
2. 安徽师范大学数学系,安徽,芜湖,241000
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| 摘要: |
| 本文研究了一类带有小延迟的微分-差分反戍扩散方程初值问题.利用奇摄动伸长变量法以及微分不等式理论,构造了问题的形式渐近解,并证明了解的一致有效性. |
| 关键词: 非线性 反应扩散 奇摄动 时滞 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:国家自然科学基金项目，国家重点基础研究发展计划项目，中国科学院创新方向性项目，上海市教育委员会E-研究院建设计划项目 |
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| ASYMPTOTIC SOLUTIONS FOR A CLASS OF DIFFERENTIAL-DIFFERENCE REACTION DIFFUSION EQUATIONS |
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MO Jia-qi,YAO Jing-sun
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MO Jia-qi1,2,YAO Jing-sun1 (1. Department of Mathematics,Anhui Normal University,Wuhu 241000,China) (2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240,China)
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| Abstract: |
| A class of differential-difference reaction diffusion equations with a small time delay is considered. By using method of the stretched variable and the theory of differential inequalities, a formal asymptotic solution is constructed, whose uniform validity is proved . |
| Key words: nonlinear reaction diffusion singular perturbation time delay |
