Second-order neutral stochastic evolution equations with heredity.
Stability analysis for neutral stochastic systems with mixed delays
This paper is concerned with the problem of the exponential stability in mean square moment for neutral stochastic systems with mixed delays, which are composed of the retarded one and the neutral one, respectively. Based on an integral inequality, a delay-dependent stability criterion for such systems is obtained in terms of linear matrix inequality (LMI) to ensure a large upper bounds of the neutral delay and the retarded delay by dividing the neutral delay interval into multiple segments. A new...
Stability analysis of recurrent neural networks with random delay and Markovian switching.
Stability of nonlinear neutral stochastic functional differential equations.
Stability of stochastic functional differential equations and the W-transform.
Stepanov-like square-mean pseudo almost automorphic solutions to partial neutral stochastic functional differential equations
We obtain the existence and uniqueness of square-mean pseudo almost automorphic mild solutions to first-order partial neutral stochastic functional differential equations with Stepanov-like almost automorphic coefficients in a real separable Hilbert space.
Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays.
Stochastically perturbed allelopathic phytoplankton model.
Successive Approximation of Neutral Functional Stochastic Differential Equations in Hilbert Spaces
By using successive approximation, we prove existence and uniqueness result for a class of neutral functional stochastic differential equations in Hilbert spaces with non-Lipschitzian coefficients
Systems of differential equations modeling non-Markov processes
The work deals with non-Markov processes and the construction of systems of differential equations with delay that describe the probability vectors of such processes. The generating stochastic operator and properties of stochastic operators are used to construct systems that define non-Markov processes.