Здiйснено аналiз зв’язкiв мiж розв’язками диференцiально-рiзницевих рiвнянь та вiдповiдних апроксимуючих систем звичайних диференцiальних рiвнянь. Запропоновано алгоритми дослiдження стiйкостi лiнiйних систем iз запiзненням та знаходження верхньої межi запiзнення, для якої зберiгається стiйкiсть системи iз запiзненням.

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