Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems

Pages: 923 - 946, Volume 22, Issue 3, May 2017      doi:10.3934/dcdsb.2017047

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Julián López-Gómez - Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain (email)
Marcela Molina-Meyer - Departamento de Matemáticas , Universidad Carlos III de Madrid, Leganés 28071, Spain (email)
Paul H. Rabinowitz - Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706, United States (email)

Abstract: In [12], the structure of the set of possible solutions of a degenerate boundary value problem was studied. For solutions with one interior zero, there were two possibilities for the solution set. In this paper, numerical examples are given showing each of these possibilities can occur.

Keywords:  Degenerate boundary value problems, components of one node solutions.
Mathematics Subject Classification:  Primary: 35J15, 35A15; Secondary: 35B38, 35B36.

Received: July 2015;      Revised: June 2016;      Available Online: January 2017.