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Classification and evolution of bifurcation curves for a one-dimensional Neumann–Robin problem and its applications
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Classification and evolution of bifurcation curves for a one-dimensional Neumann–Robin problem and its applications

Chi-Chao Tsai, Shin-Hwa Wang 和 Shao-Yuan Huang
Electronic Journal of Qualitative Theory of Differential Equations, 卷.2018, 85
2018
DOI: https://doi.org/10.14232/ejqtde.2018.1.85

摘要

Bifurcation Multiplicity Neumann–Robin problem Positive solution S-shaped bifurcation curve Time map ⊂-shaped bifurcation curve Applied Mathematics
We study the classification and evolution of bifurcation curves of positive solutions for the one-dimensional Neumann–Robin boundary value problem (Formula Presented.) where λ > 0 is a bifurcation parameter, α > 0 is an evolution parameter, and nonlinearity f satisfies f (0) ≥ 0 and f (u) > 0 for u > 0. We obtain the multiplicity of positive solutions for α > 0 and λ > 0. Applications are given.

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