Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation

this paper studied the bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found. Also, the Discriminant set (bifurcation set) of the elastic beams equation has been found for some values of...

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Main Author: M.J. Mohammed
Format: Article
Language:English
Published: University of Thi-Qar 2019-05-01
Series:مجلة علوم ذي قار
Online Access:https://www.jsci.utq.edu.iq/index.php/main/article/view/218
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author M.J. Mohammed
author_facet M.J. Mohammed
author_sort M.J. Mohammed
collection DOAJ
description this paper studied the bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found. Also, the Discriminant set (bifurcation set) of the elastic beams equation has been found for some values of parameters.
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spelling doaj.art-1d278d6b72ca4947b9f471ad27720efa2023-11-18T09:29:49ZengUniversity of Thi-Qarمجلة علوم ذي قار1991-86902709-02562019-05-0131 Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation M.J. Mohammed 0Basrah University this paper studied the bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found. Also, the Discriminant set (bifurcation set) of the elastic beams equation has been found for some values of parameters. https://www.jsci.utq.edu.iq/index.php/main/article/view/218
spellingShingle M.J. Mohammed
Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
مجلة علوم ذي قار
title Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
title_full Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
title_fullStr Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
title_full_unstemmed Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
title_short Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
title_sort lyapunov schmidt method in bifurcation solutions of nonlinear fourth order differential equation
url https://www.jsci.utq.edu.iq/index.php/main/article/view/218
work_keys_str_mv AT mjmohammed lyapunovschmidtmethodinbifurcationsolutionsofnonlinearfourthorderdifferentialequation