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Bifurcation solutions of elastic beams equation with small perturbation. (English) Zbl 1195.74093

Summary: Bifurcation solution of elastic beams equation has been studied by using local method of Lyapunov-Schmidt. The bifurcation equation corresponding to the elastic beams equation has been found as a finite system of two equations. Also, the Discriminant set (bifurcation set) of the elastic beams equation has been found for some values of parameters.

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74G60 Bifurcation and buckling
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