STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION AND THEIR GENERALIZATIONS
We consider a stochastic functional differential equation with infinite memory driven by a fractional Brownian motion with Hurst parameter $H>1/2$. We prove an existence and uniqueness result of the solution to the stochastic differential equation. We investigate the dependence of the solution on...
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OpenSIUC
2012
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Online Access: | https://opensiuc.lib.siu.edu/dissertations/513 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1513&context=dissertations |