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| 复系数微分方程组稳定性 | |
| 引用本文： | 俞元洪,龚新波,冯滨鲁. 复系数微分方程组稳定性[J]. 山东科技大学学报(自然科学版), 1995, 0(1) |
| 作者姓名： | 俞元洪 龚新波 冯滨鲁 |
| 作者单位： | 中科院应用数学所 |
| 摘 要： | 本文建立了复系数微分方程组渐近稳定性的必要充分条件，当系数是实数时这些条件与熟知的Ｒｏｕｔｈ－Ｈｕｒｗｉｔｚ条件重合。 |
| 关 键 词： | 复系数，微分方程组，渐近稳定，必要充分条件 |
ON THE STABILITY OF SYSTEMS OF DIFFERENTIAL EQUATIONS WITH COMPLEX COEFFICIENTS |
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| Yu Yuanhong,Gong Xinbo,Feng Binlu. ON THE STABILITY OF SYSTEMS OF DIFFERENTIAL EQUATIONS WITH COMPLEX COEFFICIENTS[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 1995, 0(1) | |
| Authors: | Yu Yuanhong Gong Xinbo Feng Binlu |
| Affiliation: | Yu Yuanhong;Gong Xinbo;Feng Binlu(Inst.of Appl.Math.Acad. of Sci.)(Dept. of Teaching Affair)(Dept.of Basic Courses) |
| Abstract: | Necessary and sufficient conditions for the asymptotic stability of systems ofdifferential equations with complex coefficients are established. When the coefficients are real,these conditions coincide with the well known Routh-Hurwitz conditions. |
| Keywords: | complex coefficient systems of differential equations asymptotic stability necessary and sufficient condition |
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