Averaging principle for impulsive stochastic partial differential equations

Jiankang Liu, Wei Xu, Qin Guo

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

This paper focuses on systems of stochastic partial differential equations with impulse effects. We establish an averaging principle such that the solution to the complex original nonlinear impulsive stochastic evolution equations can be approximated by that to the more simplified averaged stochastic evolution equations without impulses. By adopting stochastic analysis theory, semigroup approach and inequality technique, sufficient conditions are formulated and the mean square convergence is proved. This ensures that we can concentrate on the averaged system instead of the original system, thus providing a solution for reduction of complexity.

Original languageEnglish
Article number2150014
JournalStochastics and Dynamics
Volume21
Issue number4
DOIs
StatePublished - Jun 2021

Keywords

  • Averaging principle
  • impulsive systems
  • mild solution
  • semigroup
  • stochastic partial differential equations

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