Abstract
Bifurcations of one kind of reaction-diffusion equations,u ″+μ(u−u k)=0(μ is a parameter, 4≤kεZ+), with boundary value condition u(0)=u(π)=0 are discussed. By means of singularity theory based on the method of Liapunov-Schmidt reduction, satisfactory results can be acquired.
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Communicated by Liu Zengrong
Foundation item: the National Natural Science Foundation of China (19971057); Science and Technology Developing Foundation of Shanghai Higher Education (99QA66)
Biography: Li Changpin (1968∼)
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Changpin, L. A note on bifurcations ofu ″+μ(u−u k)=0(4≤kεZ +). Appl Math Mech 21, 265–274 (2000). https://doi.org/10.1007/BF02459004
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DOI: https://doi.org/10.1007/BF02459004