  We derive some nonequilibrium identities such as the integral fluctuation
theorem and the Jarzynski equality starting from a nonequilibrium state for
dissipative classical systems. Thanks to the existence of the integral
fluctuation theorem we can naturally introduce an entropy-like quantity for
dissipative classical systems in far from equilibrium states.
  We also derive the generalized Green-Kubo formula as a nonlinear response
theory for a steady dynamics around a nonequilibrium state. We numerically
verify the validity of the derived formulas for sheared frictionless granular
particles.
