Bifurcation Problems for Generalized Beam Equations

Fosheng Wang

Advances in Mathematical Physics, 2014, vol. 2014, 1-6

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:635731

DOI: 10.1155/2014/635731

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