3 citations · 3 across the 4 of their papers we have counts for
4 papers
Averaging principles for non-autonomous two-time-scale stochastic reaction-diffusion equations with jump
Yong Xu, Ruifang Wang
In this paper, we aim to develop the averaging principle for a slow-fast system of stochastic reaction-diffusion equations driven by Poisson random measures. The coefficients of th…
Convergence of martingale solutions to the hybrid slow-fast system
Yong Xu, Xiaoyu Yang, Bin Pei +1
This paper is devoted to studying the weak convergence for a slow-fast system with jumps modulated by Markovian switching regimes with the martingale method. However, due to the co…
Quadratic ideals and Rogers-Ramanujan recursions
Yuzhe Bai, Eugene Gorsky, Oscar Kivinen
We give an explicit recursive description of the Hilbert series and Gröbner bases for the family of quadratic ideals defining the jet schemes of a double point. We relate these rec…
Boundness and Linearisation of a class of differential equations with piecewise constant argument
Changwu Zou, Yong-Hui Xia, Manuel Pinto +2
The differential equations with piecewise constant argument (DEPCAs, for short) is a class of hybrid dynamical systems (combining continuous and discrete). In this paper, under the…