  We prove the existence of solutions to the Cauchy-Dirichlet problem
associated with a class of doubly nonlinear anisotropic evolution equations. We
also demonstrate the existence of solutions to the corresponding Cauchy problem
on $\mathbb{R}^N\times(0,T)$. Under some assumptions on the Caratheodory vector
field we prove a comparison principle and utilize it to obtain a uniqueness
result for the Cauchy-Dirichlet problem.
