| 具有非齐次定解条件的弦振动方程的解 |
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| 引用本文： | 李同兴. 具有非齐次定解条件的弦振动方程的解[J]. 淮阴师范学院学报(自然科学版), 2012, 11(4): 336-341 |
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| 作者姓名： | 李同兴 |
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| 作者单位： | 南京财经大学应用数学学院,江苏南京,210023 |
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| 摘 要： | 应用分离变量、叠加原理、齐次化原理和变量替换,讨论了一类具有非齐次初值条件和非齐次边值条件的非齐次弦振动方程解的一般表达式,同时利用傅里叶变换给出了另一种解法.
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| 关 键 词： | 弦振动方程 叠加原理 分离变量法 齐次化原理 傅里叶变换 |
The Solution of the String Vibration Equation with Inhomogeneous Conditions for Determining Solution |
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| LI Tong-xing. The Solution of the String Vibration Equation with Inhomogeneous Conditions for Determining Solution[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2012, 11(4): 336-341 |
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| Authors: | LI Tong-xing |
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| Affiliation: | LI Tong-xing(School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing Jiangsu 210023,China) |
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| Abstract: | In this paper we applied separation of variables,superposition principle,homogenized principle and variable substitution to discuss the general solution expression of a class of vibrating string equations with inhomogeneous initial and boundary conditions,and then we gave another solving method by using the Fourier transform. |
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| Keywords: | string vibration equation superposition principle separation of variables homogenized principle fourier transform |
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