| 一类非线性系统概周期解的存在唯一性 |
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| 引用本文： | 庄兴义.一类非线性系统概周期解的存在唯一性[J].广西科学院学报,2000,16(2):53-56,61. |
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| 作者姓名： | 庄兴义 |
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| 作者单位： | 梧州师范专科学校数学系,广西贺州,542800 |
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| 摘 要： | 用渐近概周期函数法研究一类非线性微分方程:x′=A(t,x)x+g(t,x)的概周期解的存在唯一性,得到保证该方程存在唯一概周期的充分性条件.
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| 关 键 词： | 概周期解 唯一性 存在性 非线性系统 微分方程 |
| 收稿时间： | 1999/3/26 0:00:00 |
| 修稿时间： | 2000/1/6 0:00:00 |
On the Existence and Uniqueness of Almost Periodic Solutions for a Class of Nonlinear Systems |
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| Zhuang Xingyi.On the Existence and Uniqueness of Almost Periodic Solutions for a Class of Nonlinear Systems[J].Journal of Guangxi Academy of Sciences,2000,16(2):53-56,61. |
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| Authors: | Zhuang Xingyi |
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| Affiliation: | Dept. of Mathematics, Wuzhou Teachers College, Hezhou, Guangxi, 542800 |
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| Abstract: | The approximation almost periodic function method was used to study the existence and uniqueness of almost periodic solution of a class of nonlinear differential equations:x''=A(t,x) x +g(t,x). A sufficient condition is obtained. |
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| Keywords: | nonlinear differential equation almost periodic solution existence and uniqueness |
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