Встановленi достатнi умови iснування роз’язку крайової задачi для iнтегро-диференцiального рiвняння з багатьма запiзненнями. Запропоновано i обгрунтовано схему апроксимацiї крайової задачi iз запiзненням послiдовнiстю крайових задач для спецiальної системи звичайних диференцiальних рiвнянь.

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