Abstract We consider abstract second order evolution equations with unbounded feedback with delay. If the delay term is small enough, we rigorously prove the fact that the system with delay has the same decay rate than the one without delay. Some old and new results easily follow.

中文翻译：

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具有或不具有延迟的二阶演化方程的相同衰减率

摘要 我们考虑具有延迟的无界反馈的抽象二阶演化方程。如果时滞项足够小，我们就严格证明了具有时滞的系统与没有时滞的系统具有相同的衰减率这一事实。一些新旧结果很容易随之而来。