I was interested in this question because my husband was divorced when I met him and it was hard at first. I did some research at the time and found that many divorced men are lacking confidence because of the divorce. They are tired and may find it hard to give to the new relationship.
Men hate failure and the thought of failing again feels with them with terror. For the first year and a half that we dated, my husband hated the thought of getting married. Once he realized that things could be different this time, he warmed up and we are now happily married but it took a while to get there.
The advice I would give is to be patient. Be sure that he's over his ex before you get involved. And know that it will take a while to gain his trust. If there are kids involved, be even more careful and go even more slow.