| 利用相平面上的稳定性分析法求微分方程的解 |
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| 作者单位： | 辽东学院师范学院 辽宁丹东118000 |
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| 摘 要： | 微分方程方法是建立动态模型的行之有效的方法之一.如果建立的模型是自治方程(组),有时求解微分方程会比较困难.此时,可以转移到相平面上,通过分析方程解的稳定性和发展趋势,进而求得微分方程的解.
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| 关 键 词： | 稳定性分析法 微分方程的解 |
Utilizing the Stability Analysis of Phase Plane to Obtain the Solution of Differential Equations |
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| DONG Li-hua. Utilizing the Stability Analysis of Phase Plane to Obtain the Solution of Differential Equations[J]. Journal of Changchun Teachers College, 2008, 0(6) |
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| Authors: | DONG Li-hua |
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| Abstract: | The method of differential equation is one of effective ways on establishing dynamic models.If this model to be established is composed of autonomy equation(s),it is usually difficult to obtain the solution of differential equations.In this situation,transferred to phase plane to analyze the stability and development trend of the equation,the solution of a differential equation is to be obtained. |
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| Keywords: | stability analysis solution of differential equations |
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