For the pair of functional equations (A) (r(t)y'(t))' + p(t)h(h(g(t))) = f(t) and (B) (r(t)y'(t))' p(t)h(y(g(t))) = 0 sufficient conditions have been found to cause all solutions of equation (A) to be oscillatory. These conditions depend upon a positive solution of equation (B).