| 一个多项式正根的存在性 |
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| 引用本文： | 龚小兵.一个多项式正根的存在性[J].内江师范学院学报,2014(8):1-4. |
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| 作者姓名： | 龚小兵 |
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| 作者单位： | 内江师范学院数学与信息科学学院,四川内江,641199 |
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| 基金项目： | 四川省教育厅重点项目（12ZA086） |
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| 摘 要： | 由于迭代的非线性性,许多关于多项式型迭代方程解的结果都是在一些比较复杂条件下得到的.针对多项式型迭代方程解存在性条件中的多项式进行了讨论,利用幂级数的性质给出此多项式正根存在的充分条件.
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| 关 键 词： | 迭代方程 多项式 正根 |
On the Existence of Positive Roots for a Polynomial |
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| GONG Xiao-bing.On the Existence of Positive Roots for a Polynomial[J].Journal of Neijiang Teachers College,2014(8):1-4. |
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| Authors: | GONG Xiao-bing |
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| Institution: | GONG Xiao-bing (College of Mathematics and Information Science, Neijiang Normal University,Neijiang, Sichuan 641199,China) |
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| Abstract: | Due to the nonlinearity of iteration,the solutions of many polynomial iterative equations can be obtained under very restrictive and complex conditions.Among the many conditions under which the existence of a solution for a polynomial iterative equation could be possible,the polynomial condition is singled out for special discussion and by use of the properties of power exponential indices,the sufficient conditions for the existence of positive roots for a polynomial are put forth. |
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| Keywords: | iterative equations polynomial positive root |
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