Homeric Constructions.—a. In the protasis, εἴ κε (εἰ ἄν) with the optative with the same force as εἰ alone. This use is exclusively Homeric. Thus, οὐ μὲν γάρ τι κακώτερον ἄλλο πάθοιμι, οὐδ' εἴ κεν τοῦ πατρὸς ἀποφθιμένοιο πυθοίμην
b. In the apodosis, a primary tense of the indicative: the present (η 52), the future (I cross388), the future with κέ (μ 345: but this may be the aorist subjunctive).
c. In the apodosis, the hortatory subjunctive (Ψ 893), the subjunctive with ἄν or κέ (Λ 386).
d. In the apodosis, the optative without ἄν not in a wish, but with the same force as the optative with ἄν. See T 321 in a.
e. For κέ with the optative in the apodosis where we should expect, in Homeric and Attic Greek, a past indicative with ἄν (κέ) in an unreal condition, see cross2311 b.
Herbert Weir Smyth [n.d.], A Greek Grammar for Colleges; Machine readable text [info] [word count] [Smyth].