Journal of Nonlinear Mathematical Physics

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Volume 15, Issue 3, November 2008, Pages 299 - 315

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

Authors
R. Sahadevan, C. Uma Maheswari
Corresponding Author
R. Sahadevan
Received 15 May 2008, Accepted 1 September 2008, Available Online 1 November 2008.
DOI
10.2991/jnmp.2008.15.3.4How to use a DOI?
Abstract

A direct method to construct polynomial integrals for third order ordinary difference equation (OE) w(n + 3) = F(w(n),w(n + 1),w(n + 2)) and fourth order OE 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 OE is also briefly discussed.

Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 3
Pages
299 - 315
Publication Date
2008/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.3.4How to use a DOI?
Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - R. Sahadevan
AU  - C. Uma Maheswari
PY  - 2008
DA  - 2008/11/01
TI  - Polynomial integrals for third- and fourth-order ordinary difference equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 299
EP  - 315
VL  - 15
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.3.4
DO  - 10.2991/jnmp.2008.15.3.4
ID  - Sahadevan2008
ER  -