| Banach空间中常微分方程的周期解 |
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| 引用本文： | 林壮鹏.Banach空间中常微分方程的周期解[J].高校应用数学学报(A辑),1996(1):15-20. |
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| 作者姓名： | 林壮鹏 |
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| 作者单位： | 深圳大学软科学系 |
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| 摘 要： | 本文研究Ｂａｎａｃｈ空间中常微分方程的周期解的存在性，在耗散型条件下得到一系列结果。同时，还给出一无穷维微分方程存在周期解的例子。
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| 关 键 词： | 方向导数 周期解 常微分方程 巴拿赫空间 |
THE PERIODIC SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| Lin Zhuangpeng Dept. of Soft Science,Shenzhen University,Shenzhen.THE PERIODIC SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Applied Mathematics A Journal of Chinese Universities,1996(1):15-20. |
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| Authors: | Lin Zhuangpeng Dept of Soft Science Shenzhen University Shenzhen |
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| Institution: | Lin Zhuangpeng Dept. of Soft Science,Shenzhen University,Shenzhen 518060 |
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| Abstract: | In this paper, the existence and uniqueness of the periodic solutions of ordinary differ-ential equations in Banach spaces are studied, and some new results are obtained under theconditions of dissipative type. Finally, an example of ordinary differential equation in the infinite dimensional Banach space where exists a periodic solution, is given. |
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| Keywords: | Directional Derivative Semi-inner Product Contractive Map Periodic Solution Conditions of Dissipative Type |
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