Future in the past

We use future in the past forms to talk about predictions and intentions made in the past.

Present continous
Past: I believe Howard is coming on Sunday

Present:   I believed Howard was coming on Sunday.

Be going to
Past: I believe Howard was going to come on Sunday.
Present:   I believed Howard was going to come on Sunday.

Will
Past: I believe Howard will come on Sunday.
Present:   I believe Howard would come on Sunday.