We study the number of bifurcation points of x = F(t; x; ), where F is periodic in t, continuous, and locally Lipschitz continuous with respect to x, by assuming that the di erential equation has at most two periodic solutions for each β R. Under some additional assumptions we prove that there are a
On the problem of the number of bifurcation solutions at singular point
β Scribed by Zhou Kun
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 322 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0253-4827
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β¦ Synopsis
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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