| Banach空间微分方程的单调迭代技巧与上下弱解法 |
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| 引用本文： | 徐明习,赵艳萍.Banach空间微分方程的单调迭代技巧与上下弱解法[J].青岛大学学报(自然科学版),1994,7(4):11-18. |
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| 作者姓名： | 徐明习 赵艳萍 |
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| 作者单位： | 青岛大学数学系 |
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| 摘 要： | 本文研究Ｂａｎａｃｈ空间中微分方程的Ｃａｕｃｈｙ问题．Ｕ＇＝ｆ（ｔ，ｕ），ｕ（０）＝ｕｏ（１．０）在弱拓扑下，证明了一个弱解的整体存在性结果，并利用单调迭代技巧上下弱解法得到（１．０）的两个弱解的存在性定理．
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| 关 键 词： | 微分方程 柯西问题 弱拓扑 弱解 |
MONOTONE ITERATIVE TECHNIQUE AND METHOD OF UPPER AND LOWER WEAK SOLUTIONS FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| Xu Mingxi, Zhao Yanping.MONOTONE ITERATIVE TECHNIQUE AND METHOD OF UPPER AND LOWER WEAK SOLUTIONS FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Journal of Qingdao University(Natural Science Edition),1994,7(4):11-18. |
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| Authors: | Xu Mingxi Zhao Yanping |
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| Abstract: | In this paperl we discuss Cauchy problem of differential equations in a Banach Space.Under weak topology, we have proved one global existence result of weak solution and two existence theorems by monotone iterative technique and the method of tipper and lower weak solutions. |
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| Keywords: | ifferential equations Cauchy Problem weak topology weak solution |
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