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A comparison principle for stochastic integro-differential equations

Probability 2016-09-09 v3

Abstract

A comparison principle for stochastic integro-differential equations driven by Levy processes is proved. This result is obtained via an extension of an Ito formula from [11] for the square of the norm of the positive part of L2L_2-valued, continuous semimartingales, to the case of discontinuous semimartingales.

Keywords

Cite

@article{arxiv.1210.5926,
  title  = {A comparison principle for stochastic integro-differential equations},
  author = {Konstantinos Dareiotis and Istvan Gyongy},
  journal= {arXiv preprint arXiv:1210.5926},
  year   = {2016}
}

Comments

20 pages

R2 v1 2026-06-21T22:25:50.676Z