Stochastic equations with discontinuous jump functions

A. V. Logachov, S. Ya Makhno

Research output: Contribution to journalArticlepeer-review

Abstract

In the present article, we consider a stochastic differential equation that contains an integral with respect to a Poisson measure but avoids the diffusion term. The integrand need not be continuous. We introduce a definition of a solution and prove the existence and uniqueness theorems.

Original languageEnglish
Pages (from-to)263-273
Number of pages11
JournalSiberian Advances in Mathematics
Volume27
Issue number4
DOIs
Publication statusPublished - 1 Oct 2017

Keywords

  • differential inclusions
  • Poisson measure
  • stochastic differential equation

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