Roman Catholic Marian scholar, Juniper B. Carol, O.F.M. wrote: "The author [Basil] also focuses his attention on the possibility of conjugal relations between Mary and St. Joseph after the birth of Christ; he rejects this possibility, but not by appealing to dogmatic belief; he has no consciousness of any obligation from this angle, and even generously admits that there is no such obligation; faith, he candidly admits, demands only that we believe in the permanence of Mary's virginity up to (and including) the incarnation; after the virginal conception there is no obligation imposed by faith." Juniper B. Carol, O.F.M., ed., Mariology (Milwaukee: Bruce, 1955), Vol. 2, pp. 276-277. The reference for Basil is his Homilia in sanctam Christi generationem, PG 31:1457-1476. Though some have attempted to cast this as a "spurious" work attributed to Basil, Carol argues that the attempt has no sound basis, and in favor of its authenticity.
The translation Carol gives of Basil in the footnote is as follows "[The opinion that Mary bore several children after Christ]...does not run counter to faith; for, virginity was imposed on Mary as a necessity, only up to the time that she served as an instrument for the Incarnation, while, on the other hand, her subsequent virginity had no great importance with regard to the mystery of the Incarnation." Homilia in sanctam Christi generationem, PG 31:1468.(See. fn 174 of Carol, Vol. 2, p. 277).
Carol: "For, it is evident from this discourse that in a region of the Greek world, apparently Asia Minor, an important Churchman, without any doubt the Archbishop of Caesarea, St. Basil, did not hold the perpetual virginity of Mary as a dogmatic truth, nor did his metropolitan Churches." Juniper B. Carol, O.F.M., ed., Mariology (Milwaukee: Bruce, 1955), Vol. 2, p. 277.