Nonlinear Differential Equations,

Electron. J. Diff. Eqns., Conf. 05, 2000, pp. 311-322.

### Instability and exact multiplicity of solutions of semilinear equations

Philip Korman & Junping Shi

**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 31, 2000.

Math Subject Classifications: 34B15.

Key Words: Bifurcation of solutions, global solution curve.

Show me the
PDF file (130K),
TEX file, and other files for this article.

Philip Korman

Institute for Dynamics and

Department of Mathematical Sciences

University of Cincinnati

Cincinnati Ohio 45221-0025

e-mail: kormanp@math.uc.edu
Junping Shi

Department of Mathematics, College of William and Mary

Williamsburg, VA 23187, USA

And: Department of Mathematics

Tulane University

New Orleans, LA 70118 USA

e-mail: jxshix@facstaff.wm.edu

Return to the EJDE web page