Global Solutions for Leading Coefficient Problem of a General Iterative Equation

被引：0
作者：
Lin Li
Wei Song
机构：
[1] Physics and Information Engineering,College of Mathematics
[2] Jiaxing University,Department of Mathematics
[3] Harbin Institute of Technology,undefined
来源：
Results in Mathematics | 2015年 / 68卷
关键词：
39B12; 37E05; 26A18; Iterative equations; leading coefficient problem; Schröder transformation; fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Most known results on global solutions for leading coefficient problem of polynomial-like iterative equations depend on the local linearity of the known functions. In this paper, global C0 solutions without this assumption is considered. By virtue of Schröder transformation, we give a general construction of infinitely many increasing C0 solutions for a general form of iterative equation.
引用
收藏
页码：247 / 260
页数：13
相关论文
共 38 条
  • [1] Baron K.(2001)Recent results on functional equations in a single variable Aequationes Math. 61 1-48
  • [2] Jarczyk W.(1989)On the singularities of divergent majorant series arising from normal form theory Rend. Mat. Appl. 9 645-659
  • [3] Bessis D.(2014)Existence of continuous solutions and stability for a general iterative functional equation J. Comput. Appl. Math. 260 509-518
  • [4] Marmi S.(2009)Leading coefficient problem for polynomial-like iterative equations J. Math. Anal. Appl. 349 413-419
  • [5] Truchetti G.(1977)Itération linéaire d’ordre deux Publ. Math. Debrecen 24 277-287
  • [6] Chen J.(1990)Transversal nomoclinic points of a class of conservative diffeomorphisms J. Differ. Equations. 87 1-27
  • [7] Li L.(1996)On an equation of linear iteration Aequationes Math. 51 303-310
  • [8] Chen J.(2013)Continuously decreasing solutions for polynomial-like iterative equations Sci. China Ser. A. 56 1051-1058
  • [9] Zhang W.(1982)On the solutions of the functional equation Mat. Vesnik 6 301-305
  • [10] Dhombres J.(2000)On linear dependence of iterates J. Appl. Anal. 6 149-157
1234