Abstract
In this paper, it is proved that the solutions of a nonlinear equation are isolated under the condition that the singular points are isolated. It shows that there must have and only have finite solutions branching from bifurcation point. This is important for the numerical analysis of bifurcation problems.
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References
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Communicated by Liu Zengrong
Project supported by the National Natural Science Foundation and National Basic Research Project. “Nonlinear Science” Foundation of China
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Kun, Z. On the problem of the number of bifurcation solutions at singular point. Appl Math Mech 18, 969–973 (1997). https://doi.org/10.1007/BF00189288
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DOI: https://doi.org/10.1007/BF00189288