Global Bifurcation Problems for Strings and Rods

  • Stuart S. Antman
Part of the Applied Mathematical Sciences book series (AMS, volume 107)


In this chapter we apply the theory of Chap. V to specific bifurcation problems for strings and rods. Here we confront certain singular boundary-value problems (like those described in Ex. V.5.6). We concentrate on effects caused by the nature of constitutive response. We develop techniques by which we can convert given boundary-value problems into mathematical forms suitable for global analysis, and techniques by which we can extract very detailed information about specific classes of problems. We begin by studying the multiplicity of steady rotating states of elastic strings.


Nontrivial Solution Trivial Solution Solution Branch Simple Eigenvalue Nodal Property 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Stuart S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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