| 非线性多滞时微分系统理论及数值解 |
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| 引用本文： | 匡蛟勋,田红炯. 非线性多滞时微分系统理论及数值解[J]. 上海师范大学学报(自然科学版), 1995, 0(1) |
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| 作者姓名： | 匡蛟勋 田红炯 |
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| 摘 要： | 本文旨在研究非线性多滞时微分系统的理论解和数值解的渐近性态．可以证明，在对右端函数给出适当条件下，非线性多滞时微分系统的理论解是渐近稳定的．并且隐式欧拉公式得到的数值解具有相同性态．
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| 关 键 词： | 非线性微分系统；渐近稳定性，数值解；理论解 |
The Aysmptotic Behaviour of Theoretical and Numerical Solutions for Nonlinear Differential System with Several Delay Terms |
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| Kuang Jiaoxun, Tian Hong jiong. The Aysmptotic Behaviour of Theoretical and Numerical Solutions for Nonlinear Differential System with Several Delay Terms[J]. Journal of Shanghai Normal University(Natural Sciences), 1995, 0(1) |
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| Authors: | Kuang Jiaoxun Tian Hong jiong |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The purpose of this paper is to study the asymptotic behaviour of the theoretiCal and numerical solution of the nonlinear differential system with several delay terms. Under the suitable assumptions for right hand function, we prove that, the theoretical solutions of the nonlinear differential system with several delay terms are asymptotically stable. The analogous behaviour of the numerical solutions of implicit Euler method are also investigated. |
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| Keywords: | nonlinear differential system asymptotic stability numerical solution theoretical solution |
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