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。%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 it-erative 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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