A first-order differential double subordination with applications

Let q1q1 and q2q2 belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions pp to satisfy the double subordination chain q1(z)≺p(z)≺q2(z)q1(z)≺p(z)≺q2(z). The differential sandwich-type result obtained is applied to normalized univalent functions and to ΦΦ-like functions.