  We study spherically symmetric timelike thin-shells in $3+1-$dimensional bulk
spacetime with a variable equation of state for the fluid presented on the
shell. In such a fluid the angular pressure $p$ is a function of both surface
energy density $\sigma $ and the radius $R$ of the thin-shell. Explicit cases
of the thin shells connecting two non-identical cloud of strings spacetimes and
a flat Minkowski spacetime to the Schwarzschild metric are investigated.
