Affiliation:
1. Department of Mathematics, Sichuan University, Chengdu 610064, China
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.
Subject
Applied Mathematics,General Physics and Astronomy
Reference22 articles.
1. Courant Lecture Notes in Mathematics,2001
2. Bifurcation of Nonlinear Equations: I. Steady State Bifurcation
3. Bifurcation of Nonlinear Equations: II. Dynamic Bifurcation
4. translated by A. H. Armstrong and edited by J. Burlak,1964
5. rundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science],1982