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| 摘要: |
| 利用一类迭代函数方程在递增情况下存在递增解和一类迭代函数方程在递增情况下存在递减迭代根，讨论了迭代函数方程λ1f(x)+λ2f3(x)+...+λnf2n-1(x)=F(x)（其中F(x)为单调递减连续函数）的解的存在情况，并简单的讨论了其解的一个性质。 |
| 关键词: 迭代 迭代函数方程 单调递减连续函数 |
| DOI： |
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| The Existence of the Solutions to a Class of Iterative Function Equations |
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CHENG Chuan-bo,LIU Shi-jun
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| Abstract: |
| Based on that ascending solutions exist in a class of iteratie function equations under the ascending conditiion an that descending iteratice roots exist in a lass of iteratve function equations under ascending conditon,this paper discusses the conditions for te existence of the solutions to the iterative function equation λ1f(x)+λ2f3(x)+...+λnf2n-1(x)=F(x),here F(x) is monotonically descending continuous function,and simply discusses a property of its solution. |
| Key words: iteration iterative function equation monotonically descending continuous function |
