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Existence theorems for periodic Markov process and stochastic functional differential equations
1.  Yangtze center of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China, China 
2.  College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China 
[1] 
Guangjun Shen, Xueying Wu, Xiuwei Yin. Stabilization of stochastic differential equations driven by GLévy process with discretetime feedback control. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 755774. doi: 10.3934/dcdsb.2020133 
[2] 
Stefan Ruschel, Serhiy Yanchuk. The spectrum of delay differential equations with multiple hierarchical large delays. Discrete & Continuous Dynamical Systems  S, 2021, 14 (1) : 151175. doi: 10.3934/dcdss.2020321 
[3] 
Christian Beck, Lukas Gonon, Martin Hutzenthaler, Arnulf Jentzen. On existence and uniqueness properties for solutions of stochastic fixed point equations. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020320 
[4] 
Lorenzo Zambotti. A brief and personal history of stochastic partial differential equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 471487. doi: 10.3934/dcds.2020264 
[5] 
Jiangtao Yang. Permanence, extinction and periodic solution of a stochastic singlespecies model with Lévy noises. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020371 
[6] 
Yueyang Zheng, Jingtao Shi. A stackelberg game of backward stochastic differential equations with partial information. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020047 
[7] 
Bixiang Wang. Meansquare random invariant manifolds for stochastic differential equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (3) : 14491468. doi: 10.3934/dcds.2020324 
[8] 
Thabet Abdeljawad, Mohammad Esmael Samei. Applying quantum calculus for the existence of solution of $ q $integrodifferential equations with three criteria. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020440 
[9] 
Yicheng Liu, Yipeng Chen, Jun Wu, Xiao Wang. Periodic consensus in network systems with general distributed processing delays. Networks & Heterogeneous Media, 2020 doi: 10.3934/nhm.2021002 
[10] 
Fathalla A. Rihan, Hebatallah J. Alsakaji. Stochastic delay differential equations of threespecies preypredator system with cooperation among prey species. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020468 
[11] 
Zhimin Li, Tailei Zhang, Xiuqing Li. Threshold dynamics of stochastic models with time delays: A case study for Yunnan, China. Electronic Research Archive, 2021, 29 (1) : 16611679. doi: 10.3934/era.2020085 
[12] 
Yukihiko Nakata. Existence of a period two solution of a delay differential equation. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 11031110. doi: 10.3934/dcdss.2020392 
[13] 
Xin Zhao, Tao Feng, Liang Wang, Zhipeng Qiu. Threshold dynamics and sensitivity analysis of a stochastic semiMarkov switched SIRS epidemic model with nonlinear incidence and vaccination. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2021010 
[14] 
Ali Mahmoodirad, Harish Garg, Sadegh Niroomand. Solving fuzzy linear fractional set covering problem by a goal programming based solution approach. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020162 
[15] 
Siyang Cai, Yongmei Cai, Xuerong Mao. A stochastic differential equation SIS epidemic model with regime switching. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020317 
[16] 
Tetsuya Ishiwata, Young Chol Yang. Numerical and mathematical analysis of blowup problems for a stochastic differential equation. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 909918. doi: 10.3934/dcdss.2020391 
[17] 
Fabio Camilli, Giulia Cavagnari, Raul De Maio, Benedetto Piccoli. Superposition principle and schemes for measure differential equations. Kinetic & Related Models, 2021, 14 (1) : 89113. doi: 10.3934/krm.2020050 
[18] 
Zhenzhen Wang, Tianshou Zhou. Asymptotic behaviors and stochastic traveling waves in stochastic FisherKPP equations. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020323 
[19] 
Qingfeng Zhu, Yufeng Shi. Nonzerosum differential game of backward doubly stochastic systems with delay and applications. Mathematical Control & Related Fields, 2021, 11 (1) : 7394. doi: 10.3934/mcrf.2020028 
[20] 
John MalletParet, Roger D. Nussbaum. Asymptotic homogenization for delaydifferential equations and a question of analyticity. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 37893812. doi: 10.3934/dcds.2020044 
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