一类多项式型迭代函数方程的极大解与极小解  

Maximal and Minimal Solutions of a Class of Polynomial-like Iterative Functional Equations

作　　者：吴炳学 赵侯宇 WU Bing-xue;ZHAO Hou-yu(School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《南宁师范大学学报（自然科学版）》2022年第3期11-15,共5页Journal of Nanning Normal University：Natural Science Edition

基　　金：重庆市教委科研项目(KJQN201900525);重庆市自然科学基金(cstc2020jcyj-msxmX0857)。

摘　　要：用上下解方法研究了一类多项式型迭代函数方程.通过构造一类特殊集合上的递增自映射,得到两个函数列,然后证明这两个函数列分别收敛于方程的极大解和极小解,且方程的所有有界解都介于这两个解之间.A class of polynomial-like iterative functional equations are studied by the method of upper and lower solutions.By constructing increasing self-mappings on a particular set,we obtain two function sequences,then we show that they converge to a maximal solution and a minimal solution,respectively,and all bounded solutions are between the two.

关 键 词：迭代函数方程 上下解 有界解 

分 类 号：O13[理学—数学]