A comparison principle for stochastic integro-differential equations

preprint2015arXivOpen access

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 L2−L_2-valued, continuous semimartingales, to the case of discontinuous semimartingales.

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