A Delay Differential Equation with an Impulsive Self-Support Condition

M. Federson, I. Győri, J. G. Mesquita, P. Táboas

Research output: Article


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.

Original languageEnglish
JournalJournal of Dynamics and Differential Equations
Publication statusPublished - jan. 1 2019


ASJC Scopus subject areas

  • Analysis

Cite this