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).
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