The paper introduces an approach for the derivation of discrete time approximations for solutions of stochastic differential equations (SDEs) with time delay. The suggested approximations converge in a strong sense. Furthermore, explicit solutions for linear stochastic delay equations are given.

This paper considers the derivation of weak discrete time approximations for solutions of stochastic differential equations with time delay. These are suitable for Monte Carlo simulation and allow the computation of expectations for functionals of stochastic delay equations. The suggested...

Der Begriff der A-Stabilität wird auf lineare Differentialgleichungen mit Gedächtnis übertragen. Es erfolgt eine explizite Berechnung des Stabilitätsgebietes des expliziten Eulerverfahrens für affine Testgleichungen mit einem reellen Parameter und einer echten Zeitverzögerung im Driftterm....

The paper considers the derivation of weak discrete time approximations for solutions of stochastic differential equations with time delay. These are suitable for Monte Carlo simulation and allow the computation of expectations for functionals of stochastic delay equations. The suggested...

The paper considers the derivation of weak discrete time approximations for solutions of stochastic differential equations with time delay. These are suitable for Monte Carlo simulation and allow the computation of expectations for functionals of stochastic delay equations. The suggested...

Der Begriff der A-Stabilität wird auf lineare Differentialgleichungen mit Gedächtnis übertragen. Es erfolgt eine explizite Berechnung des Stabilitätsgebietes des expliziten Eulerverfahrens für affine Testgleichungen mit einem reellen Parameter und einer echten Zeitverzögerung im Driftterm....

This paper suggests to model jointly time delay and random effects in economics and finance. It proposes to explain the random and often cyclical fluctuations in commodity prices as a consequence of the interplay between external noise and time delays caused by the time between initiation of...