  The equal-spin pairing (ESP) state, the so-called A-like phase, of superfluid
$^3$He in aerogels is studied theoretically in the Ginzburg-Landau (GL) region
by examining thermodynamics, and the resulting equilibrium phase diagram is
mapped out. We find that, among the ABM, planar, and robust pairing states, the
ABM state with presumably quasi long-ranged superfluid order is the best
candidate of the A-like phase with a strange lowering of the polycritical point
(PCP) observed experimentally.
