| 吸引盆在二阶抛物线边值问题解存在唯一性中的应用 |
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| 引用本文： | 冯艳青,王忠英.吸引盆在二阶抛物线边值问题解存在唯一性中的应用[J].数学杂志,2016,36(5):949-954. |
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| 作者姓名： | 冯艳青 王忠英 |
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| 作者单位： | 常州工学院数理与化工学院, 江苏 常州 213000,常州工学院数理与化工学院, 江苏 常州 213000 |
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| 基金项目： | Supported by the Natural Science Foundation of JiangSu (13KJD110001). |
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| 摘 要： | 本文研究了二阶抛物线边值问题解的存在唯一性的问题.利用吸引盆的方法和全局同胚理论,推导出二阶抛物线边值问题解存在唯一性的一个充分条件,从而推广了已经存在的一些定理.
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| 关 键 词： | 吸引盆 全局同胚 初值问题 二阶抛物线边值问题 |
| 收稿时间： | 2014/4/14 0:00:00 |
| 修稿时间： | 2015/1/4 0:00:00 |
THE APPLICATION OF THE BASIN OF ATTRACTION TO THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE SECOND ORDER PARABOLIC BOUNDARY VALUE PROBLEM |
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| FENG Yan-qing and WANG Zhong-ying.THE APPLICATION OF THE BASIN OF ATTRACTION TO THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE SECOND ORDER PARABOLIC BOUNDARY VALUE PROBLEM[J].Journal of Mathematics,2016,36(5):949-954. |
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| Authors: | FENG Yan-qing and WANG Zhong-ying |
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| Institution: | School of Mathematics and Chemical Engineering, Changzhou Institute of Technology, Changzhou 213000, China and School of Mathematics and Chemical Engineering, Changzhou Institute of Technology, Changzhou 213000, China |
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| Abstract: | In this paper, a new sufficient condition of the existence and uniquence of the second order parabolic boundary value problem is given by using the basin of attraction and the comparison theorem, which generalize some existed theorems. |
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| Keywords: | the basin of attraction homeomorphism initial value problem the second order parabolic boundary value problem |
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