DISCUSSION ON THE ITERATED EQUATION ■(x)=F(x) 被引量：5

DISCUSSION ON THE ITERATED EQUATION ■(x)=F(x)

原文传递

导出

摘要 Ⅰ. INTRODUCTION In this note we study the iterated

作者张伟年

机构地区 Institute of Mathematical Sciences

出处《Chinese Science Bulletin》 SCIE EI CAS 1987年第21期1444-1451,共8页

关键词 ITERATED CONTINUITY sequentially arbitrary simplified simply INEQUALITY UNIFORMLY UNIQUENESS holds

同被引文献27

1李晓培,邓圣福.DIFFERENTIABILITY FOR THE HIGH DIMENSIONAL POLYNOMIAL-LIKE ITERATIVE EQUATION[J].Acta Mathematica Scientia,2005,25(1):130-136. 被引量：9
2司建国.迭代方程λ_if^i(z)=F(z)局部解析解的存在性[J].数学学报（中文版）,1994,37(5):590-600. 被引量：9
3李晓培,邓圣福.AN ITERATIVE EQUATION ON THE UNIT CIRCLE[J].Acta Mathematica Scientia,2006,26(3):541-550. 被引量：1
4张伟年.STABILITY OF THE SOLUTION OF THE ITERATED EQUATION sum from i=1 to n λ_if(x)=F(x)[J]Acta Mathematica Scientia,1988(04).
5Colin J. Thompson,J. B. McGuire.Asymptotic and essentially singular solutions of the Feigenbaum equation[J]. Journal of Statistical Physics . 1988 (5-6)
6Jean-Pierre Eckmann,Peter Wittwer.A complete proof of the Feigenbaum conjectures[J]. Journal of Statistical Physics . 1987 (3-4)
7H. Epstein.New proofs of the existence of the Feigenbaum functions[J]. Communications in Mathematical Physics . 1986 (3)
8Patrick J. McCarthy.The general exact bijective continuous solution of Feigenbaum’s functional equation[J]. Communications in Mathematical Physics . 1983 (3)
9Lanford O E.A computer assisted proof of the Feigenbaum conjectures. Bulletin of the American Mathematical Society . 1987
10Zhang W N.Discussion on the differentiable solutions of the iterated equation∑λifi (x)=F (x). Nonlinear Analysis:Theory,Mathods and Applications . 1998

1林雪梅,黄上梅,黄海敏,李晓培.关于Feigenbaum型泛函方程的C^1解[J].湛江师范学院学报,2011,32(3):33-37. 被引量：3
2LI Lin,ZHANG WenMeng.Continuously decreasing solutions for polynomial-like iterative equations[J].Science China Mathematics,2013,56(5):1051-1058. 被引量：4
3Pingping ZHANG,Yingying ZENG.A GENERALIZED RESULT ON THE POLYNOMIAL-LIKE ITERATIVE EQUATION[J].Acta Mathematica Scientia,2021,41(1):177-186.
4刘敬华,李林.迭代函数方程的同胚解[J].数学物理学报（A辑）,2024,44(2):313-325.
5冷薇,李华,林日新,王静,成嘉玲,张纾语.高维空间上包含n次迭代的Feigenbaum型泛函方程的C^1解[J].湛江师范学院学报,2014,35(6):28-36.

1章静静,李林.一类集值映射在迭代下集值点和集值区间的变化[J].四川师范大学学报（自然科学版）,2014,37(2):192-198. 被引量：1
2LIU Liu,GONG XiaoBing.The polynomial-like iterative equation for PM functions[J].Science China Mathematics,2017,60(8):1503-1514. 被引量：1
3宋威,李林.CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION[J].Acta Mathematica Scientia,2018,38(1):177-186. 被引量：1
4刘敬华,李林.迭代函数方程的同胚解[J].数学物理学报（A辑）,2024,44(2):313-325.
5冷薇,李华,林日新,王静,成嘉玲,张纾语.高维空间上包含n次迭代的Feigenbaum型泛函方程的C^1解[J].湛江师范学院学报,2014,35(6):28-36.
6李华,林日新,冷薇,王静,成嘉玲,张纾语.高维空间上扰动型Feigenbaum泛函方程的C<sup>1</sup>解[J].理论数学,2014,4(6):233-240.
7潘妙巧,陈瑞琪,莫宗赵,潘富格,李叶芷,张颖.关于Lyness型差分方程的C<sup>1</sup>不变曲线[J].理论数学,2016,6(3):261-271.

Chinese Science Bulletin

1987年第21期

内容加载中请稍等...