关于简单特征值处的分歧问题

On a Bifurcation Problem from Simple Eigenvalue

当M. Crandall和P. Rabinowitz在文献[1]中定理1.7的条件F_(λχ)(λ_0,0)(?),∈R(F_χ(λ_0,0))不满足时,本文给出了简单固有值处的分歧的一些新条件。

This paper presents some new sufficient conditions on the bifurcation from simple eigenvalue when the condition Fλx(λ0,0)u0 R(Fx(λ0,0)) in theorem 1.7 of M. Gradall and P.Rabinnowitz[1] is not satisfied.