一类Hammerstein积分方程的正分歧点

Positive Bifurcation Points for a Class of Hammerstein Integral Equations

本文考虑有序Banach空间中形如x(t)=∫_Gk(t,s)[λAx(s)+f(s,x(s),λ)]ds的Hammerstein型积分方程,给出了此类方程存在正分歧点的某些充分条件。

This paper considers Hammerstein type integral equations in ordered Banach spaces of the form x(t) = ds. Some sufficient conditions are given in order to guarantee that such an equation has a positive bifurcation point.