Two Modes Bifurcation Solutions of Elastic Beams Equation with Nonlinear Approximation
In this paper we studied two modes bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found. Also, we studied two modes of nonlinear approximation of bifurcation solutions of a specified equation and we found the Key function corresponding to the functional related to this equation.
Bifurcation solutions; Local scheme of Lyapunov-Schmidt; Singularities of smooth maps
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