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

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 (equilibrium points) of this system has been discussed.