Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 311-322.

Title: Instability and exact multiplicity of solutions of semilinear equations.

Authors: Philip Korman (Univ. of Cincinnati, Cincinnati, OH, USA)
  Junping Shi (College of William and Mary, Williamsburg, VA, USA)
 
Abstract: 
  For a class of two-point boundary-value problems we use bifurcation 
  theory to show that a solution is unstable under a simple, 
  geometric in nature, assumption on the non-linear term. 
  As an application we obtain some new exact multiplicity results.

Published October 24, 2000.
Math Subject Classifications: 34B15.
Key Words: Bifurcation of solutions; global solution curve.