四川师范大学学报（自然科学版）2011，Vol.34Issue(2)：158-161,4.DOI:10.3969/j.issn.1001-8395.2011.02.004
一类迭代差分方程连续解的全局存在性
Global Existence of Continuous Solutions to a Class of Iterative-difference Equations
摘要
Abstract
To the iterative-difference equation which relates to N.Brillou(e)t-Belluot' s open problem, the local bounded continuous solutions of it had been discussed before.On the basis of this, in this paper we discuss a more general class of iterative-difference equations: Ψ2 (x) = λΨ( kx + a) +f( x), where Ψ is the unknown function.By applying a fixed point theorem, the existence of their unbounded continuous solutions on R is proved.关键词
迭代差分/不动点/存在唯一/连续解Key words
iterative-difference/ fixed point/ existence and uniqueness/ continuous solution分类
数理科学引用本文复制引用
曾莹莹,陈伟军,李林..一类迭代差分方程连续解的全局存在性[J].四川师范大学学报（自然科学版）,2011,34(2):158-161,4.基金项目
浙江省优秀青年教师基金(200911)资助项目 （200911）
