抽象 Hammerstein 型积分方程的分歧点

BIFURCATION POINTS FOR ABSTRACT HAMMERSTEIN INTEGRAL EQUATIONS

本文考虑 Banach 空间中形如“x(t)=(?)G(t,s)[λAx(s)+f(s,P_1x(s),…,P(?)x(s),λ)]ds”的 Hammerstein 型积分方程,给出了这样一个方程存在分歧点的某些充分条件.

In this paper we consider Hammerstein integral equations in Banachspaces of the form“x(t)=integral 0 G(t,s)[λAx(s)+f(s,P_1.x(s),…,P_nx(s),λ)]ds”.Some sufficient conditions are given under which such an equation has abifurcation point.