Freud developed the love-hate dynamics between parents and children as the Oedipus complex.

Literal

Freud [topic-は], parent-child interval [genitive-の] love-hate relation [object-を] Oedipus complex [as-として] developed.

A history-of-ideas sentence. ~として ('as X,' 'in the form of X') is the standard phrase for 'X as Y' — here framing the Oedipus complex as the conceptual vehicle through which Freud elaborated the love-hate parent-child dynamic. 愛憎関係 ('love-hate relationship') is a compound: 愛 (love) + 憎 (hate) + 関係 (relationship). 間 (かん) attached to 親子 ('parent-child') means 'between,' 'among' — 親子間の [関係] = 'the [relationship] between parent and child.' 展開する ('to develop, unfold, expand') is a formal verb for developing an idea, argument, or system.