Для рiвнянь другого порядку, що мiстять у правiй частинi суму доданкiв з нелiнiйностями рiзних типiв, встановлено необхiднi i достатнi умови iснування одного класу зникаючих при $t ↑ ω (ω ≤ +∞)$ неколивних розв'язкiв i одержано для цих розв'язкiв асимптотичнi зображення.

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