Abdul Hussain, Mudhir A. Bifurcation solutions of elastic beams equation with small perturbation. (English) Zbl 1195.74093 Int. J. Math. Anal., Ruse 3, No. 17-20, 879-888 (2009). 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. Cited in 1 Document MSC: 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74G60 Bifurcation and buckling Keywords:bifurcation theory; local Lyapunov-Schmidt method; bifurcation set PDFBibTeX XMLCite \textit{M. A. Abdul Hussain}, Int. J. Math. Anal., Ruse 3, No. 17--20, 879--888 (2009; Zbl 1195.74093) Full Text: Link