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Advances in Mathematical Physics
Volume 2014, Article ID 635731, 6 pages
Research Article

Bifurcation Problems for Generalized Beam Equations

Department of Mathematics, Sichuan University, Chengdu 610064, China

Received 4 October 2014; Accepted 4 December 2014; Published 22 December 2014

Academic Editor: Ricardo Weder

Copyright © 2014 Fosheng Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate a class of bifurcation problems for generalized beam equations and prove that the one-parameter family of problems have exactly two bifurcation points via a unified, elementary approach. The proof of the main results relies heavily on calculus facts rather than such complicated arguments as Lyapunov-Schmidt reduction technique or Morse index theory from nonlinear functional analysis.