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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. |
| 关键词: 吸引盆 全局同胚 初值问题 二阶抛物线边值问题 |
| DOI： |
| 分类号:O175.26 |
| 基金项目:Supported by the Natural Science Foundation of JiangSu (13KJD110001). |
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| 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,WANG Zhong-ying
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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. |
| Key words: the basin of attraction homeomorphism initial value problem the second order parabolic boundary value problem |
