The existence of subnormal solutions of following three difference equations with Schwarzian derivative ω(z+1)−ω(z−1)+a(z)(S(ω,z))n=R(z,ω(z)),
Nearby in the stack
ω(z+1)ω(z−1)+a(z)S(ω,z)=R(z,ω(z)),
and
(ω(z)ω(z+1)−1)(ω(z)ω(z−1)−1)+a(z)S(ω,z)=R(z,ω(z))
are studied by using Nevanlinna theory, where
n≥1
is an integer,
a(z)
is small with respect to
ω
,
S(ω,z)
is Schwarzian derivative,
R(z,ω)
is rational in
ω
with small meromorphic coefficients with respect to
ω
. The necessary conditions for the existence of subnormal transcendental meromorphic solutions of the above equations are obtained. Some examples are given to support these results.