四川师范大学学报（自然科学版）2017，Vol.40Issue(4)：482-485,4.DOI:10.3969/j.issn.1001-8395.2017.04.009
多项式型迭代方程解的存在性
Extension of Solutions of Polynomial-like Iterative Equations
摘要
Abstract
Most of known results such as existence,uniqueness and stability for polynomial like iterative equations are given under the assumption that the given function is monotone.In this paper,using the idea of characteristic intervals of iterative roots we give the existence of solutions for this equation with some given nonmonotonic function.关键词
迭代函数方程/PM函数/非单调性/延拓Key words
iterative functional equation/PM function/nonmonotonicity/extension分类
数理科学引用本文复制引用
石勇国,刘娜,龚小兵..多项式型迭代方程解的存在性[J].四川师范大学学报（自然科学版）,2017,40(4):482-485,4.基金项目
国家自然科学基金(11301256)、四川省教育厅科研创新团队基金(14TD0026)和四川省教育厅自然科学基金(17ZA0217) （11301256）
