  We have investigated some bouncing cosmological models in an isotropic and
homogeneous space time with the F(R) theory of gravity. Two functional forms of
F(R) have been investigated with a bouncing scale factor. The dynamical
parameters are derived and analysed along with the cosmographic parameters. The
analysis in both the models show the occurrence of bouncing scenario. The
violation of strong energy conditions in both models is also shown. In the
stability point of view we have analysed the behaviour of F_R = dF/dR with
respect to cosmic time and both the models exhibit stable behaviour.
