Как же все таки переводится с английского слово abandon?

Добрый вечер, Лиза

abandon

1 to leave someone, especially someone you are responsible for:
How could she abandon her own child?

2 to go away from a place, vehicle etc permanently, especially because the situation makes it impossible for you to stay [= leave]:
We had to abandon the car and walk the rest of the way.
Fearing further attacks, most of the population had abandoned the city.

3 to stop doing something because there are too many problems and it is impossible to continue:
The game had to be abandoned due to bad weather.
They abandoned their attempt to recapture the castle.
Because of the fog they abandoned their idea of driving.

4 to stop having a particular idea, belief, or attitude:
They were accused of abandoning their socialist principles.
Rescuers had abandoned all hope of finding any more survivors.

5 abandon yourself to something, literary - to feel an emotion so strongly that you let it control you completely:
She abandoned herself to grief.

6 abandon ship to leave a ship because it is sinking

Вот ссылка - http://www.ldoceonline.com/dictionary/abandon_1

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Еще "запрещать"

Исходя из контекста.
Например, "her natural mother had abandoned her at an early age" - отказыватся.
"To abandon the sinking ship" - покидать.