Abstract
In the present paper, we are concerned to prove under some hypothesis the existence of fixed points of the operator L defined on C(I) by
Lu(t) = integral(w)(0) G(t ,s)h(s)f(u(s))ds, t is an element of I, omega is an element of {1,infinity},
where the functions f is an element of C([0, infinity);[0, infinity)), h is an element of C(I;[0, infinity)), G is an element of C(I X I) and
{ I = [0, 1], if omega = 1,
I = [0, infinity), if omega = infinity.
By using Guo Krasnoselskii fixed point theorem, we establish the existence of at least one fixed point of the operator L.