| 非线性周期系统的不稳定周期解 |
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| 引用本文： | 王全义. 非线性周期系统的不稳定周期解[J]. 华侨大学学报(自然科学版), 1995, 16(2): 121-127 |
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| 作者姓名： | 王全义 |
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| 作者单位： | 华侨大学管理信息科学系 |
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| 摘 要： | 研究一类非线性周期微分系统周期解的存在性、唯一性和不稳定性问题，在某些条件下，通过利用指数型二分性和不动点方法，得到此类系统存在着唯一的不稳定性的周期解的新结果。
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| 关 键 词： | 微分系统 周期解 存在性 非线性 周期系统 |
Unstable Periodic Solutions of Nonlinear Periodic Systems |
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| Wang Quanyi. Unstable Periodic Solutions of Nonlinear Periodic Systems[J]. Journal of Huaqiao University(Natural Science), 1995, 16(2): 121-127 |
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| Authors: | Wang Quanyi |
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| Abstract: | For a class of nonlinear periodic differential systems, the existence of unique and unstable solutions is studied by means of exponential dichotomy and fixed point method. Under certain conditions, some new results are obtained for confirming the existence of unique and unstable periodic solutions in these systems. |
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| Keywords: | differential system periodic solution existence exponential dichotomy fixed point method |
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