Article ID Journal Published Year Pages File Type
4637359 Applied Mathematics and Computation 2006 12 Pages PDF
Abstract

The main aim of this paper is to investigate the exponential stability of the Euler method for a class of autonomous stochastic delay differential equations with Markovian switching. The definition of exponential mean square stability of numerical method is introduced. It is proved that the Euler scheme is exponentially stable in mean square sense. Several examples are given for illustration.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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