  This paper considers the Poisson equation for general state-space Markov
chains in continuous time. The main purpose of this paper is to present
specific bounds for the solutions of the Poisson equation for general
state-space Markov chains. The solutions of the Poisson equation are unique in
the sense that they are expressed in terms of a certain probabilistically
interpretable solution (called the {\it standard solution}). Thus, we establish
some specific bounds for the standard solution under the $f$-modulated drift
condition (which is a kind of Foster-Lyapunov-type condition) and some moderate
conditions. To demonstrate the applicability of our results, we consider the
workload processes in two queues: MAP/GI/1 queue, and M/GI/1 queue with
workload capacity limit.
