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 7 条

[1] OSCILLATORY AND PERIODIC-SOLUTIONS OF DELAY DIFFERENTIAL-EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT [J].

AFTABIZADEH, AR ;

WIENER, J ;

XU, JM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (04) :673-679

[2]

[Anonymous], 1988, APPL ANAL, DOI DOI 10.1080/00036818808839717

[3]

[Anonymous], DIFFERENTIAL INTEGRA

[4] RETARDED DIFFERENTIAL-EQUATIONS WITH PIECEWISE CONSTANT DELAYS [J].

COOKE, KL ;

WIENER, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 99 (01) :265-297

[5]

Kuczma M., 1968, FUNCTIONAL EQUATIONS

[6]

Ng C. T., 1997, J. Diff. Eqs. Appl, V3, P147

[7]

SIEGEL CL, 1956, VORLESUNGEN HIMMELSM

← 1 →