  Let $q_1$ and $q_2$ 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 $p$ to satisfy the
double subordination chain $q_1(z)\prec p(z)\prec q_2(z)$. The differential
sandwich-type result obtained is applied to normalized univalent functions and
to $\Phi$-like functions.
