πιστεύοντες τοῖς ἐπὶ τοῦ καταστρώματος ὁπλίταις εἰς τὴν νίκην

From LSJ

ὁ δὲ πείσεται εἰς ἀγαθόν περ → he will obey you to his profit, he will obey you for his own good end

Source