| 具系数扰动的非线性微分方程的一致稳定的概周期解的存在性 |
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| 引用本文： | 倪华,林发兴. 具系数扰动的非线性微分方程的一致稳定的概周期解的存在性[J]. 临沂师范学院学报, 2006, 28(6): 5-8,23 |
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| 作者姓名： | 倪华 林发兴 |
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| 作者单位： | 1. 江苏大学,理学院,江苏,镇江,212013;福州大学,数学与计算机科学学院,福建,福州,350002
2. 福州大学,数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 福建省青年科技人才创新基金资助项目(2004J002)，福建省教育厅科技基金资助项目(JA04156)，福州大学科技发展基金资助项目(2003-XQ-21) |
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| 摘 要： | 考虑具系数扰动的非线性微分方程,利用指数型二分性及稳定性有关理论得到了该系统的概周期解的存在性、唯一性和稳定性,获得了一些新的结果．
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| 关 键 词： | 非线性微分方程 系数扰动 概周期解 一致稳定 |
| 文章编号： | 1009-6051（2006）06-0005-04 |
| 收稿时间： | 2006-07-01 |
| 修稿时间： | 2006-07-01 |
The Existence of Uniformly Stable Almost Periodic Solution of Nonlinear Differential Equation with Coefficient Perturbation |
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| NI Hua,LIN Fa-xing. The Existence of Uniformly Stable Almost Periodic Solution of Nonlinear Differential Equation with Coefficient Perturbation[J]. Journal of Linyi Teachers' College, 2006, 28(6): 5-8,23 |
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| Authors: | NI Hua LIN Fa-xing |
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| Affiliation: | 1. Faculty of science, JiangSu University, Zhenjiang JiangSu 212013, China; 2. School of mathematics and computer science, Fuzhou university, Fuzhou Fujian 350002, China |
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| Abstract: | After considering the nonlinear differential equation with coefficient perturbation, we have obtained the theorem which guarantees the existence of the unique uniformly stable almost periodic solution for the system by using exponential dichotomy and theories of stability. |
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| Keywords: | nonlinear differential equation coefficient perturbation almost periodic solution uniform stability |
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