Polynomial integrals for third- and fourth-order ordinary difference equations

被引：4

作者：

Sahadevan, R. ^{[1
]}

Maheswari, C. Uma ^{[1
]}

机构：

[1] Univ Madras, Ramanujan Inst Adv Study Math, Madras 600005, Tamil Nadu, India

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / 03期

关键词：

D O I：

10.2991/jnmp.2008.15.3.4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A direct method to construct polynomial integrals for third order ordinary difference equation (O Delta E) w(n + 3) = F(w(n), w(n + 1), w( n + 2)) and fourth order O Delta E w(n + 4) = F(w(n), w(n + 1), w(n + 2), w(n + 3)) is presented. The effectiveness of the method to construct more than one polynomial integral for N-th order O Delta E is also briefly discussed.

引用

页码：299 / 315

页数：17

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