Bifurcation Problems for Generalized Beam Equations. (22nd December 2014)

• Record Type: Journal Article
• Authors: Wang, Fosheng
• Other Names: Weder Ricardo Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2014(2014)
• Publication Date: 2014-12-22
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2014/635731
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : 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.