AN ITERATIVE EQUATION ON THE UNIT CIRCLE

doi:10.1016/S0252-9602(06)60080-5

数学物理学报(英文版)

AN ITERATIVE EQUATION ON THE UNIT CIRCLE

李晓培; 邓圣福

湛江师范大学数学系, 湛江 524048

收稿日期:2005-10-14 修回日期:1900-01-01 出版日期:2006-07-20 发布日期:2006-07-20
通讯作者: 李晓培
基金资助:
Supported by NNSFC(10171071), China MOE research and the Doctor Funds of Zhanjiang Normal University Grants

AN ITERATIVE EQUATION ON THE UNIT CIRCLE

Li Xiaopei; Deng Shengfu

Department of Mathematics, Zhanjiang Normal University Zhanjiang, Zhanjiang 524048, China

Received:2005-10-14 Revised:1900-01-01 Online:2006-07-20 Published:2006-07-20
Contact: Li Xiaopei

摘要/Abstract

摘要：

A functional equation of nonlinear iterates is discussed on the circle S¹
for its continuous solutions and differentiable solutions. By lifting to R, the existence, uniqueness and stability of those solutions
are obtained. Techniques of continuation are used to guarantee the preservation of continuity and differentiability in lifting.

关键词: Iterative equation, compact manifold, lift, continuation

Abstract:

Key words: Iterative equation, compact manifold, lift, continuation

中图分类号:

39B22

李晓培; 邓圣福. AN ITERATIVE EQUATION ON THE UNIT CIRCLE[J]. 数学物理学报(英文版), 2006, 26(3): 541-550.

Li Xiaopei; Deng Shengfu. AN ITERATIVE EQUATION ON THE UNIT CIRCLE[J]. Acta mathematica scientia,Series B, 2006, 26(3): 541-550.

[1]	宋威, 李林. CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION[J]. 数学物理学报(英文版), 2018, 38(1): 177-186.
[2]	孙道椿, 霍颖莹, 孔荫莹, 柴富杰. THE INTEGRATION OF ALGEBROIDAL FUNCTIONS[J]. 数学物理学报(英文版), 2017, 37(6): 1861-1869.
[3]	孔凡超, 罗治国. SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY[J]. 数学物理学报(英文版), 2017, 37(6): 1803-1816.
[4]	鲁世平, 郑亮, 陈丽娟. HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS[J]. 数学物理学报(英文版), 2013, 33(5): 1361-1374.
[5]	孔荫莹, 孙道椿. ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC#br# COEFFICIENTS[J]. 数学物理学报(英文版), 2013, 33(2): 423-429.
[6]	刘修生. ON THE CHARACTERIZATION OF CYCLIC CODES OVER TWO CLASSES OF RINGS[J]. 数学物理学报(英文版), 2013, 33(2): 413-422.
[7]	刘晓东, 张波. INVERSE SCATTERING BY AN INHOMOGENEOUS PENETRABLE OBSTACLE IN A PIECEWISE HOMOGENEOUS MEDIUM[J]. 数学物理学报(英文版), 2012, 32(4): 1281-1297.
[8]	付英, 屈长征. UNIQUE CONTINUATION AND PERSISTENCE PROPERTIES OF SOLUTIONS OF THE 2-COMPONENT DEGASPERIS-PROCESI#br# EQUATIONS[J]. 数学物理学报(英文版), 2012, 32(2): 652-662.
[9]	钮鹏程, 王家林. ON UNIQUE CONTINUATION PROPERTIES FOR THE SUB-LAPLACIAN ON \|CARNOT GROUPS[J]. 数学物理学报(英文版), 2010, 30(5): 1776-1784.
[10]	J.M. Soriano . SHARED VALUE IN A FINITE-DIMENSIONAL BANACH MANIFOLD[J]. 数学物理学报(英文版), 2010, 30(5): 1687-1695.
[11]	J.M. Soriano; C. Ding. A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES[J]. 数学物理学报(英文版), 2007, 27(3): 535-540.
[12]	张立平. A GLOBAL LINEAR AND LOCAL QUADRATIC SINGLE--STEP NONINTERIOR#br# CONTINUATION METHOD FOR MONOTONE SEMIDEFINITE COMPLEMENTARITY PROBLEMS[J]. 数学物理学报(英文版), 2007, 27(2): 243-253.
[13]	J.M. Soriano. ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION[J]. 数学物理学报(英文版), 2002, 22(2): 171-177.
[14]	余军扬. ON ALGEBROID FUNCTIONS IN A SUBDOMAIN OF THE COMPLEX PLANE[J]. 数学物理学报(英文版), 1998, 18(4): 394-398.

AN ITERATIVE EQUATION ON THE UNIT CIRCLE

AN ITERATIVE EQUATION ON THE UNIT CIRCLE

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 14

Metrics

本文评价

推荐阅读 0