Quadratic invariant curves for a planar mapping

被引：17

作者：

Ng, CT ^{[1
]}

Zhang, WN

机构：

[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

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

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2000年 / 6卷 / 02期

关键词：

dynamical systems; invariant curves; iterations; functional equations; difference equations;

D O I：

10.1080/10236190008808219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A planar mapping was derived from a second order delay differential equation with a piecewise constant argument. Invariant curves for the planar mapping reflects on the dynamics of the differential equation. Results were reported on a planar mapping admitting quadratic invariant curves y=x(2)+C, except for the case -3/4 less than or equal to C<0. This remaining case is now resolved, and we describe the solutions of the functional equation k(x(2) + C) + k(x) = x by iterations of y.

引用

页码：147 / 163

页数：17