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

Julián López-Gómez, Marcela Molina-Meyer, Paul Rabinowitz
2017 Discrete and continuous dynamical systems. Series B  
This paper is dedicated to R.S.Cantrell on the occasion of his 60th birthday, for his pioneering work on the effects of spatial heterogeneities on nonlinear differential equations. With our friendship and best wishes for the future. 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
more » ... these possibilities can occur. 2010 Mathematics Subject Classification. Primary: 35J15, 35A15; Secondary: 35B38, 35B36. Key words and phrases. Degenerate boundary value problems, components of one node solutions.
doi:10.3934/dcdsb.2017047 fatcat:ffsihk7bffdaffkjdkdv7u2ctu