Bifurcation Problems for Generalized Beam Equations

Fosheng Wang

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/635731

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:635731

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