Abstracts
In this article the bifurcation solutions of nonlinear fourth order differential equation has been investigated by using local method of Lyapunov -Schmidt. The reduced equation corresponding to the nonlinear fourth order differential equation has been found in the form of a nonlinear system of two algebraic equations. The classification of the solutions (equilibrium points) of this system has been discussed.
Keywords :Bifurcation theory; nonlinear systems; Local Lyapunov-Schmidt method.
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