A Delay Differential Equation with an Impulsive Self-Support Condition

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

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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
JournalJournal of Dynamics and Differential Equations
DOIs
Publication statusPublished - Jan 1 2019

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Keywords

  • Delay differential equations
  • Impulses
  • Periodic

ASJC Scopus subject areas

  • Analysis

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