Analytic solutions of a functional equation for invariant curves

被引：29

作者：

Si, JG ^{[1
]}

Zhang, WN

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Binzhou Normal Coll, Dept Math, Shandong 256604, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 259卷 / 01期

关键词：

iterative functional equation; analytic solution; convergence; governing series;

D O I：

10.1006/jmaa.2000.7390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An iterative functional equation is deduced by C. T. Ng and W. Zhang (1997, J. Differ, Equations Appl. 3, 147-168) from the problem of invariant curves. In this paper, its analytic solutions are discussed by locally reducing the equation to another functional equation without iteration and by constructing solutions in uniformly convergent power series for the latter equation. (C) 2001 Academic Press.

引用

页码：83 / 93

页数：11

共 50 条

[1] Analytic solutions of an equation of invariant curves
Li, WR
Liu, HZ
Cheng, SS
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 1014 - 1021
[2] Existence of analytic solutions of an iterative functional equation
Liu, Lingxia
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (17) : 7245 - 7257
[3] Analytic invariant curves for an iterative equation related to Pielou's equation
Zhao, Houyu
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (07) : 1082 - 1092
[4] Analytic invariant curves for an iterative equation related tomosquito model
Zhao, Houyu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (17) : 2689 - 2696
[5] FORMAL AND ANALYTIC SOLUTIONS FOR A QUADRIC ITERATIVE FUNCTIONAL EQUATION
Zhang, Pingping
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[6] Analytic solutions of an iterative functional equation
Li W.R.
Cheng S.S.
Aequationes mathematicae, 2004, 68 (1-2) : 21 - 27
[7] ANALYTIC SOLUTIONS OF AN ITERATIVE FUNCTIONAL EQUATION
Qiu Fang(Dept.of Math.
Annals of Differential Equations, 2007, (02) : 180 - 187
[8] Analytic invariant curves for an iterative equation related to dissipative standard map
Zhao, Houyu
Tian, Liu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) : 3733 - 3740
[9] Analytic solutions of an iterative functional differential equation
Wang, XP
Si, JG
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) : 490 - 498
[10] Analytic Solutions of an Iterative Functional Differential Equation
Liu, Lingxia
ADVANCED MATERIALS AND COMPUTER SCIENCE, PTS 1-3, 2011, 474-476 : 2208 - 2212

← 1 2 3 4 5 →