In this paper we use the theory .of topological degree to investigate the eigenvalues of Hammerstein superlinear integral equations with variable sign kernel:Aφ(x)=∫GK(x,y)f(y,φ(y))dy=λφ(x). We have proved that except at most a sequence of numbers {λn}, which converges to zoro, all other numbers λ are eigenvalues of A. |