| 引用本文： |
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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,(2):53-56,61. [点击复制]
- 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,(2):53-56,61. [点击复制]
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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. |
| 关键词: 非线性方程 概周期解 存在唯一性 |
| DOI： |
| 投稿时间：1999-03-26修订日期：2000-01-06 |
| 基金项目: |
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| On the Existence and Uniqueness of Almost Periodic Solutions for a Class of Nonlinear Systems |
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Zhuang Xingyi
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| (Dept. of Mathematics, Wuzhou Teachers College, Hezhou, Guangxi, 542800) |
| 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. |
| Key words: nonlinear differential equation almost periodic solution existence and uniqueness |
