𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the problem of the number of bifurcation solutions at singular point

✍ Scribed by Zhou Kun


Publisher
Springer
Year
1997
Tongue
English
Weight
322 KB
Volume
18
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


The number of bifurcation points of a pe
✍ JosΓ© L. Bravo; Manuel FernΓ‘ndez; Antonio Tineo πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 295 KB

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 ∈ R. Under some additional assumptions we prove that there are a

On the number of singular points of weak
✍ Gregory A. Seregin πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 71 KB πŸ‘ 2 views

## Abstract We consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ξ© Γ— ]0, __T__[. Let Ξ£ be the set of singular points for this solution and Ξ£ (__t__) ≑ {(__x, t__) ∈ Ξ£}. For a given open subset Ο‰ βŠ† Ξ© and for a given moment of time __t__ ∈]0

On the number of solutions for the two-p
✍ Antonio Masiello; Paolo Piccione πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 190 KB

We study the solutions joining two fixed points of a time-independent dynamical system on a Riemannian manifold (M, g) from an enumerative point of view. We prove a finiteness result for solutions joining two points p, q ∈ M that are non-conjugate in a suitable sense, under the assumption that (M, g

On the existence of solutions of -Laplac
✍ Yanling Zhu; Kai Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 433 KB

By using the theory of coincidence degree, we study a kind of solutions of p-Laplacian m-point boundary value problem at resonance in the following form where m β‰₯ 3, a i > 0 A result on the existence of solutions is obtained. The degrees of two variables x 1 , x 2 in the function f (t, x 1 , x 2 )