| 两参数非线性发展方程的奇摄动尖层解 |
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| 引用本文： | 欧阳成,陈贤峰,莫嘉琪.两参数非线性发展方程的奇摄动尖层解[J].数学杂志,2017,37(2):247-256. |
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| 作者姓名： | 欧阳成 陈贤峰 莫嘉琪 |
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| 作者单位： | 湖州师范学院理学院, 浙江 湖州 313000,上海交通大学数学系, 上海 200240,安徽师范大学数学系, 安徽 芜湖 241003 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (11371248) and the Natural Science Foundation of Zhejiang Province, China (LY13A010005). |
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| 摘 要： | 本文研究了一类具有非线性发展方程奇摄动问题.引入伸长变量和多重尺度，构造了初始边值问题外部解和尖层、边界层和初始层校正项，得到了问题形式解.利用不动点定理，证明了问题的解的一致有效性.推广了对两参数的奇摄动问题的研究结果.
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| 关 键 词： | 尖层 奇摄动 发展方程 |
| 收稿时间： | 2015/6/18 0:00:00 |
| 修稿时间： | 2015/11/30 0:00:00 |
THE POINTED LAYER SOLUTION OF SINGULAR PERTURBATION FOR NONLINEAR EVOLUTION EQUATIONS WITH TWO PARAMETERS |
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| OUYANG Cheng,CHEN Xian-feng and MO Jia-qi.THE POINTED LAYER SOLUTION OF SINGULAR PERTURBATION FOR NONLINEAR EVOLUTION EQUATIONS WITH TWO PARAMETERS[J].Journal of Mathematics,2017,37(2):247-256. |
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| Authors: | OUYANG Cheng CHEN Xian-feng and MO Jia-qi |
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| Institution: | Faculty of Science, Huzhou University, Huzhou 313000, China,Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China and Department of Mathematic, Anhui Normal University, Wuhu 241003, China |
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| Abstract: | In this paper,the nonlinear singular perturbation problem for the evolution equations is studied.The outer solution and corrective terms of the pointed,boundary and initial layers for the solution are constructed.By using the fixed point theorem,the uniformly validity of solution to the problem ia proved and the results of the study for the singular perturbation with two parameters is extended. |
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| Keywords: | pointed layer singular perturbation evolution equation |
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