A Delay Differential Equation with an Impulsive Self-Support Condition

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

Research output: Contribution to journalArticle

Abstract

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
Pages (from-to)605-614
Number of pages10
JournalJournal of Dynamics and Differential Equations
Volume32
Issue number2
DOIs
Publication statusPublished - Jun 1 2020

Keywords

  • Delay differential equations
  • Impulses
  • Periodic

ASJC Scopus subject areas

  • Analysis

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