【摘要】 区间上严格单调连续函数的迭代根问题已经得到了很好的解决.对于区间上非单调连续函数,其迭代根问题也有了较大的突破.然而对于区间上非单调不连续函数,其迭代根问题解决甚少.本文研究了3类非单调不连续函数,借助于它们的n次迭代通式,把n从整数延拓到有理数,从而得到了它们的n次迭代根.更多还原

【Abstract】 The problem of iterative roots which is monotone and continuous functions on interval has been solved.There is a larger breakthrough on problem of iterative roots which is non-monotone and continuous functions on interval.However,the problem of iterative roots which is non-monotone and discontinuous functions on interval has very few results.In this paper,three types of functions have been discussed.With the aid of their general forms of n-th order iterate,we put the nfrom integer continuation to rational numbers and get their iterative roots of order n.更多还原