The structure of the set of 1-node solutions of a class of degenerate BVP's
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2020
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Elsevier
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J. López-Gómez, P.H. Rabinowitz, The structure of the set of 1-node solutions of a class of degenerate BVP’s, Journal of Differential Equations 268 (2020) 4691–4732. https://doi.org/10.1016/j.jde.2019.10.040.
Abstract
A recent study, [12], [13], of a class of degenerate BVP's showed that there were two possibilities for the structure of the set of 1-node solutions. Left open was the question of whether each one was possible. Using some elementary phase plane techniques combined with some comparison arguments obtained from the maximum principle, this paper constructs examples showing that indeed each can occur.