| 阻尼强迫振动方程的摄动解 |
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| 引用本文： | 陈秀庆.阻尼强迫振动方程的摄动解[J].安庆师范学院学报(自然科学版),2008,14(1):86-87. |
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| 作者姓名： | 陈秀庆 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 摘 要： | 我们在讨论奇摄动问题时,常常需要求出奇摄动方程的近似解,而多重尺度法是求解的一致有效展开式常用的方法。运用多重尺度方法讨论一类奇摄动振动方程,得到了问题解的一致有效渐近展开式。
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| 关 键 词： | 摄动 展开式 近似解 |
Perturbed Solution for the Forced Vibration Equation with Damping |
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| CHEN Xiu-qing.Perturbed Solution for the Forced Vibration Equation with Damping[J].Journal of Anqing Teachers College(Natural Science Edition),2008,14(1):86-87. |
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| Authors: | CHEN Xiu-qing |
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| Abstract: | When we discuss the singularly perturbed problem,the approximate solution of singularly perturbed equation is calculated.The multi-scale method is often used in establish a uniformly valid asymptotic expansion of the solution.In this paper,a class of solution for the singularly perturbed oscillation equation is discussed and established,and a uniformly valid asymptotic expansion of the solution by using multi-scale method is constructed. |
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| Keywords: | Perturbation Expansion Approximatesolution |
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