Sentence examples for stochastic functional from inspiring English sources

Some authors introduced the theory of delayed stochastic functional differential equations into a neural network.

In the following section, we apply Theorem 2.1 to examine stochastic functional Kolmogorov-type systems.

Several stability theorems of impulsive hybrid stochastic functional differential equations are derived.

Stochastic functional differential equations [9] give a mathematical explanation for such a system.

Applying the conditions (H1) and (H3) to stochastic functional Kolmogorov systems (1.2) gives.

where Q ∈ R n × n, which is another stochastic functional Lotka-Volterra systems.

Park, Balasubramaniam and Kumaresan [8] gave the controllability of neutral stochastic functional infinite delay systems.

We consider non-linear stochastic functional differential equations (sfde's) on Euclidean space.

The stochastic functional Kolomogorov-type systems for n interacting species is described by the following stochastic functional differential equation: d x ( t ) = diag ( x 1, …, x n ) [ f ( x t ) d t + g ( x t ) d w ( t ) ], (1.1).

However, little is yet known about the pathwise property of the stochastic functional Kolmogorov-type systems with infinite delay although they may be seen as a generalized stochastic functional Lotka-Volterra system.

Wei and Wang [28] investigated the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay.