| 具负定周期系数矩阵的非线性微分方程的周期解 |
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| 引用本文： | 倪华,林发兴.具负定周期系数矩阵的非线性微分方程的周期解[J].苏州科技学院学报(自然科学版),2007,24(2):5-10. |
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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;福州大学校科研和教改项目 |
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| 摘 要： | 研究了一类具负定周期系数矩阵的非线性微分方程，利用李雅普诺夫第二方法、指数型二分性理论及稳定性有关理论证明了该系统一致渐进稳定的唯一的周期解的存在性。
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| 关 键 词： | 实系数负定矩阵 周期解 存在性 稳定性 |
| 文章编号： | 1672-0687（2007）02-0005-06 |
| 修稿时间： | 2006-05-28 |
The Periodic Solution of Nonlinear Differential Equation with Real Coefficient Negative Definite Matrix |
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| NI Hua,LIN Fa-xing.The Periodic Solution of Nonlinear Differential Equation with Real Coefficient Negative Definite Matrix[J].Journal of University of Science and Technology of Suzhou,2007,24(2):5-10. |
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| Authors: | NI Hua LIN Fa-xing |
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| Institution: | 1.Faculty of Science ,Jiangsu University, Zhenjiang 212013, China; 2.College of Mathematics and Computer Science, Fuzhou Univer- sity, Fuzhou 350002, China |
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| Abstract: | In this paper, we deal with the periodic differential equation with real coefficient negative definite matrix, By the second method of Lyapunov and theory of exponential dichotomy, we get the sufficient conditions which guarantee the existence of the unique uniformly asymptotically stable periodic solution of the system |
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| Keywords: | real coefficient negative definite matrix periodic solutions existence stability |
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