| 构造常微分方程求函数方程的解 |
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| 引用本文： | 徐波.构造常微分方程求函数方程的解[J].安顺师范高等专科学校学报,2009,11(2):84-85. |
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| 作者姓名： | 徐波 |
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| 作者单位： | 黔西南民族师范高等专科学校数学系,贵州,兴义,562400
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| 摘 要： | 对数函数方程，达朗贝尔方程、双曲正（余）弦函数方程（组）等，用一般求解函数方程的柯西法，通常是比较困难和复杂的。但应用微积分知识及原理，先将其化为常微分方程的初值问题，再求解，则可使解法更为简化。
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| 关 键 词： | 函数方程 连续解 初值问题 |
The solution if functional equation through the structure of ordinary differential equation |
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| Xu Bo.The solution if functional equation through the structure of ordinary differential equation[J].Journal of Anshun Teachers College,2009,11(2):84-85. |
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| Authors: | Xu Bo |
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| Institution: | Xu Bo(Math＇s Department southwert. Guizhou Teacher ＇s college for Nationalities, Xingyi 562400,Guizhou,China) |
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| Abstract: | It is rather difficult and complex to get the solutions of logarithmic functional equation, D＇ alembert equation and hyperbolic sine （cosine）functional equation by the ordinary cauchy ＇ s solution. However,it will and getting the solutions at last according to the theory of differential and integral caculus. |
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| Keywords: | Function Equation Continuous Solution Initial Value Problem |
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