The object of study is an autonomous impulsive system proposed as a model of drugs absorption by living organisms consisting of a linear differential delay equation and an impulsive self-support condition. We get a representation of the general solution in terms of the fundamental solution of the differential delay equation. The impulsive self-support generates periodic auto-oscillations given by fixed points of a first return map.

中文翻译：

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具有脉冲自支撑条件的时滞微分方程

研究的目的是提出一种自治的脉冲系统，作为由生物体吸收药物的模型，该模型由线性微分延迟方程和脉冲自支撑条件组成。我们用微分延迟方程的基本解来表示一般解。脉冲式自我支持会生成由第一返回图的固定点给定的周期性自动振荡。