| 几类广义Pexider方程的通解 |
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| 引用本文： | 刘晓华. 几类广义Pexider方程的通解[J]. 四川师范大学学报(自然科学版), 2012, 0(1): 73-77 |
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| 作者姓名： | 刘晓华 |
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| 作者单位： | 乐山师范学院数学与信息科学学院 |
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| 基金项目： | 四川省教育厅自然科学重点科研基金(11ZA160)资助项目 |
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| 摘 要： | 研究广义Pexider可加函数方程、广义Pexider指数函数方程、广义Pexider对数函数方程和广义Pexider幂函数方程,利用赋值转化法并借助Cauchy方程的已有结果给出了这些方程的通解.
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| 关 键 词： | 广义Pexider方程 可加函数 指数函数 对数函数 幂函数 |
General Solutions of Several Types of Generalized Pexider Equations |
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| LIU Xiao-hua. General Solutions of Several Types of Generalized Pexider Equations[J]. Journal of Sichuan Normal University(Natural Science), 2012, 0(1): 73-77 |
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| Authors: | LIU Xiao-hua |
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| Affiliation: | LIU Xiao-hua(College of Mathematics and Information Science,Leshan Teachers’ College,Leshan 614004,Sichuan) |
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| Abstract: | In this paper,we discuss several functional equations,which are generalized Pexider additive functional equations,generalized Pexider exponential functional equations,generalized Pexider logarithmic functional equations and generalized Pexider power functional equations.Using the known results of Cauchy function,we obtain general solutions of above functional equations by evaluation method,which means that one can reduce functions to a simple form. |
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| Keywords: | generalized Pexider equation additive function exponential function logarithmic function power function |
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