To incite by words or advice; to animate or urge by arguments, as to a good deed or laudable conduct; to address exhortation to; to urge strongly; hence, to advise, warn, or caution.

ETYM Latin exhortatio: cf. French exhortation.
1. A communication intended to urge or persuade the recipients to take some action.
2. The act of exhorting; an earnest attempt at persuasion; SYN. incitement.

ETYM Latin exhortativus: cf. French exhortatif.
Giving strong encouragement; SYN. exhortatory, hortative, hortatory.