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Functional differential approaches to backward stochastic equations

, 2011
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Stability of impulsive stochastic functional differential equations with delays

Applied Mathematics Letters
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Jianli Li
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Quasi Contraction of Stochastic Functional Differential Equations

Journal of Partial Differential Equations, 2023
Summary: Using a novel approach, we present explicit criteria for the quasi contraction of stochastic functional differential equations. As an application, some sufficient conditions ensuring the contraction property of the solution to the considered equations are obtained. Finally, some examples are investigated to illustrate the theory.
Zhao, Jiaxin, Li, Zhi, Xu, Liping
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Stability of stochastic functional differential equations with impulses

Applied Mathematics Letters, 2023
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Hongyu Kuang, Jianli Li
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Stochastic stabilisation of functional differential equations

Systems & Control Letters, 2005
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John A. D. Appleby, Xuerong Mao
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Perturbed Nonlocal Stochastic Functional Differential Equations

Qualitative Theory of Dynamical Systems, 2020
The authors discuss the asymptotic behavior of the solution for a class of perturbed nonlocal stochastic functional differential equations. They evaluate the distance between the latter and of the unperturbed solution, in finite time-intervals, and on maximal intervals as the small perturbations tend to zero. These results non-trivially extend previous
Zhang, Qi, Ren, Yong
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Stochastic suppression and stabilization of functional differential equations

Systems & Control Letters, 2010
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Fuke Wu, Xuerong Mao, Shigeng Hu
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Stability of hybrid stochastic functional differential equations

Applied Mathematics and Computation, 2019
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Dehao Ruan, Liping Xu, Jiaowan Luo
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Perturbed Impulsive Neutral Stochastic Functional Differential Equations

Qualitative Theory of Dynamical Systems, 2021
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Cheng, Lijuan, Hu, Lanying, Ren, Yong
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Stability analysis of impulsive stochastic functional differential equations

Communications in Nonlinear Science and Numerical Simulation, 2020
In this paper, the authors use the Razumikhin techniques and Lyapunov functions to investigate the stability of impulsive stochastic functional differential equations. The results show that impulses make contribution to the exponential stability of stochastic differential systems with any time delay even they are unstable.
Yingxin Guo, Quanxin Zhu, Fei Wang
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