A note on iterative solutions for a nonlinear fourth order ode

A note on iterative solutions for a nonlinear fourth order ode

This work is concerned with the existence of iterative solutions fora class of fourth order differential equations with nonlinear boundary conditions modeling beams on nonlinear elastic foundations. Some numerical simulations are also considered.

Bibliographic Details
Main Authors: Maria Bernadete de Souza Cortes, Luiz Antonio Pereira Gomes, Emerson Arnaut de Toledo, Edson Alves
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2009-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Beam equation
nonlinear boundary
numerical solutions.
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/9062/5268
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spelling doaj-aa95a0867ba4470485bce4b0e327b7382020-11-24T22:57:51ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882009-07-012711520A note on iterative solutions for a nonlinear fourth order odeMaria Bernadete de Souza CortesLuiz Antonio Pereira GomesEmerson Arnaut de ToledoEdson AlvesThis work is concerned with the existence of iterative solutions fora class of fourth order differential equations with nonlinear boundary conditions modeling beams on nonlinear elastic foundations. Some numerical simulations are also considered.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/9062/5268Beam equationnonlinear boundarynumerical solutions.
collection DOAJ
language English
format Article
sources DOAJ
author Maria Bernadete de Souza Cortes
Luiz Antonio Pereira Gomes
Emerson Arnaut de Toledo
Edson Alves
spellingShingle Maria Bernadete de Souza Cortes
Luiz Antonio Pereira Gomes
Emerson Arnaut de Toledo
Edson Alves
A note on iterative solutions for a nonlinear fourth order ode
Boletim da Sociedade Paranaense de Matemática
Beam equation
nonlinear boundary
numerical solutions.
author_facet Maria Bernadete de Souza Cortes
Luiz Antonio Pereira Gomes
Emerson Arnaut de Toledo
Edson Alves
author_sort Maria Bernadete de Souza Cortes
title A note on iterative solutions for a nonlinear fourth order ode
title_short A note on iterative solutions for a nonlinear fourth order ode
title_full A note on iterative solutions for a nonlinear fourth order ode
title_fullStr A note on iterative solutions for a nonlinear fourth order ode
title_full_unstemmed A note on iterative solutions for a nonlinear fourth order ode
title_sort note on iterative solutions for a nonlinear fourth order ode
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2009-07-01
description This work is concerned with the existence of iterative solutions fora class of fourth order differential equations with nonlinear boundary conditions modeling beams on nonlinear elastic foundations. Some numerical simulations are also considered.
topic Beam equation
nonlinear boundary
numerical solutions.
url http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/9062/5268
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AT luizantoniopereiragomes anoteoniterativesolutionsforanonlinearfourthorderode
AT emersonarnautdetoledo anoteoniterativesolutionsforanonlinearfourthorderode
AT edsonalves anoteoniterativesolutionsforanonlinearfourthorderode
AT mariabernadetedesouzacortes noteoniterativesolutionsforanonlinearfourthorderode
AT luizantoniopereiragomes noteoniterativesolutionsforanonlinearfourthorderode
AT emersonarnautdetoledo noteoniterativesolutionsforanonlinearfourthorderode
AT edsonalves noteoniterativesolutionsforanonlinearfourthorderode
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