Two Modes Bifurcation Solutions of Elastic Beams Equation with Nonlinear Approximation

Mudhir A. Abdul Hussain

Abstract


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.

Keywords


Bifurcation solutions; Local scheme of Lyapunov-Schmidt; Singularities of smooth maps

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DOI: http://dx.doi.org/10.26713%2Fcma.v1i2.119

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