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
收藏
页码：83 / 93
页数：11
相关论文
共 50 条
  • [41] Analytic solutions of a first order iterative functional differential equation
    Qiu, Fang
    Zhang, Quanxin
    Zhang, Ce
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 498 - 501
  • [42] Local Analytic Solutions of a Functional Differential Equation Near Resonance
    Liu, LingXia
    ADVANCES IN COMPUTER SCIENCE, ENVIRONMENT, ECOINFORMATICS, AND EDUCATION, PT II, 2011, 215 : 230 - 235
  • [43] The Exist Local Analytic Solutions of an Iterative Functional Differential Equation
    Liu, Lingxia
    ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS: WITH ASPECTS OF ARTIFICIAL INTELLIGENCE, 2010, 6216 : 17 - 26
  • [44] Formal and Locally Analytic Solutions of an Inhomogeneous Linear Functional Equation
    Reich, Ludwig
    Tomaschek, Joerg
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2016, 16 (01) : 155 - 165
  • [45] Analytic Solutions of an Iterative Functional Differential Equation near Resonance
    Liu, Tongbo
    Li, Hong
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 2009
  • [46] Analytic Solutions of a Second-Order Functional Differential Equation
    Houyu Zhao
    Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 719 - 731
  • [47] Analytic Solutions of a Second-Order Functional Differential Equation
    Pengpit, S.
    Kaewong, T.
    Kongkul, K.
    THAI JOURNAL OF MATHEMATICS, 2010, 8 (03): : 491 - 502
  • [48] Analytic Solutions of a Second-Order Functional Differential Equation
    Liu, LingXia
    ADVANCES IN COMPUTER SCIENCE, ENVIRONMENT, ECOINFORMATICS, AND EDUCATION, PT II, 2011, 215 : 236 - 242
  • [49] Analytic Solutions of an Iterative Functional Differential Equation near Resonance
    Liu, Lingxia
    2010 THE 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND INDUSTRIAL APPLICATION (PACIIA2010), VOL I, 2010, : 122 - 125
  • [50] Analytic Solutions of a Second-Order Functional Differential Equation
    Liu, Lingxia
    SOFTWARE ENGINEERING AND KNOWLEDGE ENGINEERING: THEORY AND PRACTICE, VOL 2, 2012, 115 : 1 - 8
12345