| 常微分方程周期解差分法的收敛性 |
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| 引用本文： | 张丽清.常微分方程周期解差分法的收敛性[J].华南理工大学学报(自然科学版),1991,19(1):73-82. |
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| 作者姓名： | 张丽清 |
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| 作者单位： | 华南理工大学自动化系 |
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| 摘 要： | 木文讨论自治常微分方程周期解差分法的收敛性。在周期解正则的条件下证明了差分周解的存存性,并给出了差分解的误差估计。然后建立了差分周期解的浙近展开式。最后给出了数值例子。
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| 关 键 词： | 常微分方程 周期解 差分法 收敛性 |
CONVERGENCE OF DIFFERENCE METHOD FOR PERIODIC SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS |
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| Zhang Liqing.CONVERGENCE OF DIFFERENCE METHOD FOR PERIODIC SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS[J].Journal of South China University of Technology(Natural Science Edition),1991,19(1):73-82. |
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| Authors: | Zhang Liqing |
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| Abstract: | In this paper a difference method for the periodic solution of an autonomous ordinary differential equation system is proposed. The existence of the numerical solution is obtained if the periodic solution is regular, and the error estimate is given. Then the asymptotic expansion of the numerical solution is established. Finally a numerical example is given. |
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| Keywords: | periodic solutions difference methods asymptotic expansions variational equations error estimate |
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