Bifurcation Solutions of Non-linear Fourth Order Ordinary Differential Equation with Two Parameters

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Mathematical Sciences and Applications E-Notes
Volume:6 Issue:1
Bifurcation Solutions of Non-linear Fourth Order Ordinary Differential Equation with Two Parameters

Bifurcation Solutions of Non-linear Fourth Order Ordinary Differential Equation with Two Parameters

Authors : Mudhir A Abdul HUSSAİN

Pages : 113-120

Doi:10.36753/mathenot.421779

View : 29 | Download : 11

Publication Date : 2018-04-27

Article Type : Research Paper

Abstract :In this article we are interested in the study of bifurcation solutions of non-linear fourth order differential equation by using local method of Lyapunov -Schmidt. The reduced equation corresponding to the non-linear fourth order differential equation is given by a nonlinear system of two algebraic equations. The classification of the solutions insert ignore into journalissuearticles values(equilibrium points); of this system has been discussed.
Keywords : Bifurcation theory, Nonlinear systems, Local Lyapunov Schmidt method

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