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Exponential stability for differential equations with random impulses at random times

  • Texas A&M University-Kingsville
  • University of Plovdiv Paisii Hilendarski

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

36 Citations (Scopus)

Abstract

Impulsive differential equations with impulses occurring at random times arise in the modeling of real world phenomena in which the state of the investigated process changes instantaneously at uncertain moments. The investigation of these differential equations uses ideas in the qualitative theory of differential equations and probability theory. In this paper differential equations with randomly occurring impulses are considered and the p-moment exponential stability of the solutions is studied.

Original languageEnglish
Article number372
JournalAdvances in Difference Equations
Volume2013
DOIs
Publication statusPublished - Dec 2013

Keywords

  • delays
  • Externally hosted open access publications with University of Galway authors
  • Impulsive differential equations
  • p-moment exponential stability
  • p-moment stability
  • Random moments of impulses
  • razumikhin-type theorems
  • systems

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