| 变时滞非线性微分方程零解的渐近稳定性 |
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| 引用本文： | 黄明辉.变时滞非线性微分方程零解的渐近稳定性[J].延边大学理工学报,2019,0(1):1-5. |
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| 作者姓名： | 黄明辉 |
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| 作者单位： | ( 广州城建职业学院, 广东 广州 510925 ) |
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| 摘 要： | 利用Banach不动点定理研究了变时滞非线性微分方程.在一定的条件下,通过构造适当的压缩映射,得到了方程在完备度量空间Sψ上零解渐近稳定的新条件,即允许系数函数改变符号且不要求时滞有界,并通过算例证明了本文结论的有效性.
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| 关 键 词： | 非线性 不动点定理 渐近稳定性 |
Asymptotic stability of the zero solution for nonlinear differentialequations with variable delays |
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| HUANG Minghui.Asymptotic stability of the zero solution for nonlinear differentialequations with variable delays[J].Journal of Yanbian University (Natural Science),2019,0(1):1-5. |
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| Authors: | HUANG Minghui |
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| Affiliation: | ( Guangzhou City Construction College, Guangzhou 510925, China ) |
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| Abstract: | By using Banach fixed point theory, the nonlinear differential equation with variable delays is considered. Under certain conditions, by constrcutng appropriate contraction mappings, a new condition for asymptotic stability of zero solution of the equation on a complete metric space Sψ is obtained. Allowing coefficient functions to change sign and do not require the boundedness of delays are given. An example is given to illustrate the validity of the conclusion in this paper. |
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| Keywords: | nonlinear fixed point theory asymptotic stability |
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