Instability and exact multiplicity of solutions of semilinear equations

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.

Bibliographic Details
Main Authors: Philip Korman, Junping Shi
Format: Article
Language:English
Published: Texas State University 2000-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/05/k3/abstr.html