| 关于一类非线性方程稳定性的研究 |
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| 引用本文： | 钟澎洪.关于一类非线性方程稳定性的研究[J].佛山科学技术学院学报(自然科学版),2008,26(5). |
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| 作者姓名： | 钟澎洪 |
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| 作者单位： | 云南民族大学,数学与信息科学学院,云南,昆明,650091 |
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| 摘 要： | 对一类非线性方程解的稳定性进行研究。采用考察方程的解的渐进性方法,在方程定性研究的基础上,对一类方程的稳定性进行判断,得到稳定性的两种等价判断条件,最后,用具体例子对定理进行了验证。
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| 关 键 词： | 非线性微分方程 稳定性 利普希兹条件 Gronwall不等式 V函数 |
Stability of a class of nonlinear systems |
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| ZHONG Peng-hong.Stability of a class of nonlinear systems[J].Journal of Foshan University(Natural Science Edition),2008,26(5). |
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| Authors: | ZHONG Peng-hong |
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| Institution: | ZHONG Peng-hong(Maths , Information Science School.Yunnan University of Nationalities,Kunming 650091.China) |
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| Abstract: | Based on the analysis of the stability of a nonlinear equation,this paper adopts the asymptotic method to investigate the equation.On the basis of the qualitative analysis,we judge the stability of a kind of equation,provide two kinds of concrete methods for judging the stability of the equation.At the end of the article,we use concrete examples to verify the theorem. |
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| Keywords: | nonlinear systems stability Lipschitz condition Gronwall inequality V function |
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