| 高维非自治非线性微分系统的全局稳定性 |
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| 引用本文： | 申建华.高维非自治非线性微分系统的全局稳定性[J].中南大学学报(自然科学版),1993(2). |
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| 作者姓名： | 申建华 |
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| 作者单位： | 中南矿冶学院应用数学力学系 |
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| 摘 要： | 研究了刑式较为广泛的一类高维非自治非线性微分系统的零解的全局一致稳定、全局等度渐近稳定、全局一致渐近稳定、全局渐近稳定及不稳定性,并将其结果应用于研究分离变量型系统、变系数线性动力系统以及变系数飞机纵向运动方程的全局稳定性与不稳定性,得到一些新的结果,它们是过去难以得到的。
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| 关 键 词： | 高维非自治非线性微分系统 全局稳定 Liapunov函数 |
ON TOTAL STABILITY AND UNSTABILITY OF NONLINEAR DIFFERENTIAL SYSTEMS WITH VARIABLE COEFFICIENTS |
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| Shen Jianbua.ON TOTAL STABILITY AND UNSTABILITY OF NONLINEAR DIFFERENTIAL SYSTEMS WITH VARIABLE COEFFICIENTS[J].Journal of Central South University:Science and Technology,1993(2). |
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| Authors: | Shen Jianbua |
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| Institution: | Shen Jianbua Department of Applied Mathematics and Mechanics |
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| Abstract: | In this paper,sufficient conditions for the total stability and unstability of a class of nonlinear differential systems with variable coefficients are obtained,and are applied to vari-able component systems and linear dynamic system.The results obtained are new and betterthan the previous ones. |
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| Keywords: | nonlinear differential systems total stability Liapunov functions |
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