## The stability of bifurcate solutions for a kind of nonlinear equations.(Chinese. English summary)Zbl 0767.34033

Summary: We discuss the existence and stability of bifurcate solutions for the equation $${\mathcal K}{du\over dt}=F(\lambda,u)$$, where $$\mathcal K$$ is an analytical operator depending on the real parameter $$\lambda$$.

### MSC:

 34D05 Asymptotic properties of solutions to ordinary differential equations

### Keywords:

existence; stability; bifurcate solutions; analytical operator