Periodic Solutions for a Class of Impulsive Delay Differential Equations

Dan Gamliel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study two coupled linear delay differential equations (DDEs) with additive impulses at regular time intervals. The equations are transformed to a DDE coupled to an ODE. Conditions are found for positive periodic solutions, and some examples are given for periodic solutions and for non-periodic solutions.

Original languageEnglish
Title of host publicationFunctional Differential Equations and Applications - FDEA-2019
EditorsAlexander Domoshnitsky, Alexander Rasin, Seshadev Padhi
Pages257-267
Number of pages11
DOIs
StatePublished - 2021
Event7th International Conference on Functional Differential Equations and Applications, FDEA 2019 - Ariel, Israel
Duration: 22 Aug 201927 Aug 2019

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume379
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference7th International Conference on Functional Differential Equations and Applications, FDEA 2019
Country/TerritoryIsrael
CityAriel
Period22/08/1927/08/19

Keywords

  • Delay differential equations
  • Impulses
  • Periodic solutions

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