We study the integral equationu(x)=λ∫Ωk(x,y)f(y,u(y))dy, λ>0 and its nonlinear perturbation u(x)=λ∫Ωk(x,y)f(y,u(y))dy+G(u(x)) where k(x,y) is nonnegative measurable. Under some reasonable conditions on f(x,u) and G(u) , we obtain the uniqueness and existence of positive solution for the equations, and also the iteration approximations of the solutions. |