This paper focuses on the mean square cluster consensus of nonlinear multi-agent systems
with Markovian switching topologies and communication noise via pinning control …

This paper is concerned with the delay dependent stability of the stochastic exponential
Euler method for stochastic delay differential equations and stochastic delay partial …

Neutral stochastic delay differential equations often appear in various fields of science and
engineering. The aim of this article is to investigate the strong convergence of the split-step …

In this paper, we study the convergence of explicit numerical methods in strong sense for
stochastic delay differential equations (SDDEs) with super-linear growth coefficients. Under …

The exponential mean-square stability of the split-step θ-method for neutral stochastic delay
differential equations (NSDDEs) with jumps is considered. New conditions for jumps are …

We present a stochastic age-dependent population model that accounts for Markovian
switching and variable delay. By using the approximate value at the nearest grid-point on …

The exponential mean-square stability of the θ-method for neutral stochastic delay
differential equations (NSDDEs) with jumps is considered. With some monotone conditions …

This paper addresses a stochastic pantograph model with Lévy leaps where non-jump
coefficients exceed linearity. The partially truncated split-step theta method is introduced and …

In this paper, we investigate a projected Euler-Maruyama method for stochastic delay
differential equations with variable delay under a global monotonicity condition. This …

In this paper, we propose the split-step theta method for stochastic delay integro-differential
equations by the Lagrange interpolation technique and investigate the mean square …