| 几类微分方程零解的不稳定性 |
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| 引用本文： | 郭怡萍,冯滨鲁. 几类微分方程零解的不稳定性[J]. 菏泽学院学报, 2014, 0(5): 8-13 |
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| 作者姓名： | 郭怡萍 冯滨鲁 |
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| 作者单位： | 1. 山东科技大学数学与系统科学学院,山东青岛,266590
2. 潍坊学院,山东潍坊,261061 |
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| 摘 要： | 研究了几类微分方程零解的不稳定性,通过构造非线性系统的Liapunov函数,得到了零解不稳定性的充分条件.
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| 关 键 词： | 自治微分方程 非自治微分方程 零解 不稳定性 |
Instability of the Solutions for Several Classes of Differential Equation |
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| GUO Yi-ping,FENG Bin-lu. Instability of the Solutions for Several Classes of Differential Equation[J]. , 2014, 0(5): 8-13 |
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| Authors: | GUO Yi-ping FENG Bin-lu |
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| Affiliation: | GUO Yi - ping , FENG Bin - lu ( 1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao Shandong 266590, China; 2. Weifang University, Weifang Shandong 261061, China) |
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| Abstract: | In this paper, we discuss the instability of solutions for several classes of differential equation and obtain sufficient conditions of the instability of solutions, by means of the method of constructing Liapunov functions of nonlinear systems. |
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| Keywords: | autonomous differential equation nonautonomous differential equation the solutions instability |
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