Lexical Definition

‎ἐπιλύω‎ epilýō (ep-ee-loo'-o) to explain ^G:V
from ‎ἐπί‎ and ‎λύω‎

determine, expound.

• to solve further, i.e. (figuratively) to explain, decide

Abbott-Smith

** ἐπι-λύω [in Aq.: Ge 40:8 41:8, 12; Th.: Ho 3:4 * ;]
1. to loose, release.
2. to solve, settle, explain: Mk 4:34, Ac 19:39.†

Abbott-Smith References

Liddell-Scott-Jones

ἐπιλύω,

loose, untie, δεσμά 3rd c.BC: Theocritus Poeta Bucolicus “Adon.” 42; ἐ.κύνας let slip dogs, [Refs]: generally, set free, release, τοὺς κακούργους τῷ πολέμῳ 2nd c.AD: Lucianus Sophista “Par.” 50:—middle, ἐπιλύεσθαί τινα τὸ μὴ οὐχὶ ἀγανακτεῖν 5th-6th c.BC: Plato Philosophus “Crito” 43c; ἐπιλύεσθαι ἐπιστολάς openthem, [Refs]; Ἐπιλυσαμένη, epithet of various divinities, [Refs 5th c.AD+]

__2. solve, explain, πάντα τοῖς μαθηταῖς NT.Mark.4.34:—passive,[Refs]:—middle, [Refs 1st c.AD+]perfect participle passive ἐπιλελυμένος lucid, of writings, [Refs]
__3. confute an accusation, [Refs 2nd c.AD+]
__4. middle, manumit, [Refs 2nd c.BC+]
__5. release, discharge a debtor, ἀπὸ τᾶν κοινᾶν ποθόδων ἐπιλυθῆμεν (infinitive passive) τοὺς ἐρρυτιασμένους “Schwyzer” 104.7 [Refs 2nd c.BC+]: pay, with dative person, [Refs]:—middle, discharge a debt, δάνειον “PGrenf.” 1.26.2 [Refs 2nd c.BC+]
__II. future middle in passive sense, lose strength, give in, [Refs]

_{LSJ Scripture Refs: Mark.4.34}