Abstract This research focuses on the stochastic functional differential equations driven by G-Brownian motion (G-SFDEs) with infinite delay. It is proved that trivial solution of a G-SFDE delay exponentially stable in mean square. An example also presented to illustrate effectiveness obtained theory.

We study two different approaches to semantics for fairness within the categorical framework of presheaf models for concurrency [1, 2]. The first approach, used in e.g. dataflow models, is based on representing finite or infinite completed observations. A completed observation is the result of an infinite computation. A finite completed observation is then the result of an infinite computation ...

Given an unstable hybrid stochastic functional differential equation, how to design a delay feedback controller make it stable? Some results have been obtained for systems with finite delay. However, the state of many equations are related whole history system, so is necessary discuss control infinite On other hand, in practical models, coefficients these do not satisfy linear growth condition,...