数学杂志2021，Vol.41Issue(5)：377-383,7.
变系数多项式型迭代函数方程的连续周期解
PERIODIC AND CONTINUOUS SOLUTIONS FOR POLYNOMIAL-LIKE ITERATIVE FUNCTIONAL EQUATION WITH VARIABLE COEFFICIENTS
摘要
Abstract
Schauder's fixed point theorem and the Banach contraction principle are used to study the polynomial-like iterative functional equation with variable coefficients λ1(x)f(x) +λ2(x)f2(x) +...+ λn(x)fn(x) =F(x).We give sufficient conditions for the existence,uniqueness,and stability of the periodic and continuous solutions.Finally,some examples were considered by our results.The results enrich and extend the theory about polynomial-like iterative functional equation.关键词
迭代函数方程/周期解/不动点定理Key words
Iterative functional equation/periodic solutions/fixed point theorem分类
数理科学引用本文复制引用
颜东燕,赵侯宇..变系数多项式型迭代函数方程的连续周期解[J].数学杂志,2021,41(5):377-383,7.基金项目
Supported by the Foundation of Chongqing Municipal Education Commission(KJQN201800502 （）
KJQN201900525) （）
Foundation of youth talent of Chongqing Normal University(02030307-00039) （02030307-00039）
Natural Science Foundation of Chongqing (cstc2020jcyj-msxmX0857). （cstc2020jcyj-msxmX0857）
