Analytic solution of certain second-order functional differential equation

We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2, m,r≥0.

Saved in:
Bibliographic Details
Main Authors: Theeradach Kaewong, Piyapong Niamsup
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/53828
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832552347728871424
author Theeradach Kaewong
Piyapong Niamsup
author_facet Theeradach Kaewong
Piyapong Niamsup
author_sort Theeradach Kaewong
collection DOAJ
description We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2, m,r≥0.
format Article
id doaj-art-347d5652570a4e6f8041395dd3240242
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2006-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-347d5652570a4e6f8041395dd32402422025-02-03T05:58:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5382853828Analytic solution of certain second-order functional differential equationTheeradach Kaewong0Piyapong Niamsup1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandWe consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2, m,r≥0.http://dx.doi.org/10.1155/IJMMS/2006/53828
spellingShingle Theeradach Kaewong
Piyapong Niamsup
Analytic solution of certain second-order functional differential equation
International Journal of Mathematics and Mathematical Sciences
title Analytic solution of certain second-order functional differential equation
title_full Analytic solution of certain second-order functional differential equation
title_fullStr Analytic solution of certain second-order functional differential equation
title_full_unstemmed Analytic solution of certain second-order functional differential equation
title_short Analytic solution of certain second-order functional differential equation
title_sort analytic solution of certain second order functional differential equation
url http://dx.doi.org/10.1155/IJMMS/2006/53828
work_keys_str_mv AT theeradachkaewong analyticsolutionofcertainsecondorderfunctionaldifferentialequation
AT piyapongniamsup analyticsolutionofcertainsecondorderfunctionaldifferentialequation