{The judgement} (krisis). No article, "A judgement." The
next few days will test this world. {The prince of this world}
(ho arch(936e) tou kosmou toutou). This phrase here, descriptive of
Satan as in possession of the evil world, occurs again in  14:30  16:11 . In the temptations Satan claims power over the world and
offers to share it with Jesus ( Mt 4:8-10  Lu 4:5-8 ). Jesus did
not deny Satan's power then, but here proclaims final victory
over him. {Shall be cast out} (ekbl(8874)h(8873)etai ex(935c)). Future
passive of ekball(935c). Note ex(935c), clean out. The Book of
Revelation also proclaims final victory over Satan.