| 利用微分方程求解函数方程 |
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| 引用本文： | 王随社. 利用微分方程求解函数方程[J]. 阜阳师范学院学报(自然科学版), 2006, 23(4): 30-32 |
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| 作者姓名： | 王随社 |
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| 作者单位： | 阜阳师范学院,数学系,安徽,阜阳,236041 |
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| 摘 要： | 讨论了5类函数方程的解为初等函数的限制条件,以函数在x=0(或x=1)处可微为限制条件给出结论,并通过求解微分方程的方法给出证明.
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| 关 键 词： | 函数方程 微分方程 可微 |
| 文章编号： | 1004-4329（2006）04-0010-03 |
| 收稿时间： | 2006-08-06 |
| 修稿时间： | 2006-08-06 |
Using Differential Equation to Solve Function Equation |
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| WANG Sui-she. Using Differential Equation to Solve Function Equation[J]. Journal of Fuyang Teachers College:Natural Science, 2006, 23(4): 30-32 |
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| Authors: | WANG Sui-she |
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| Abstract: | The qualification of elementary function is the solution about Five categories of functional equation.This paper concludes that the function is differentable at x=0(or x=1)as the qualification of elementary function and proves this conclusion through solving differential equation. |
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| Keywords: | function equation differential equation differentiable |
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