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The wellposedness of FBSDEs
Stochastic Galerkin method for elliptic spdes: A white noise approach
1.  Worcester Polytechnic Institute, Department of Mathematical Sciences, 100 Institute Rd, Worcester, MA 016092280, United States, United States 
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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 
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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 
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Hoang The Tuan. On the asymptotic behavior of solutions to timefractional elliptic equations driven by a multiplicative white noise. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 17491762. doi: 10.3934/dcdsb.2020318 
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Bixiang Wang. Meansquare random invariant manifolds for stochastic differential equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (3) : 14491468. doi: 10.3934/dcds.2020324 
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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 
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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 
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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 
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Serge Dumont, Olivier Goubet, Youcef Mammeri. Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020456 
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Shang Wu, Pengfei Xu, Jianhua Huang, Wei Yan. Ergodicity of stochastic damped Ostrovsky equation driven by white noise. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 16151626. doi: 10.3934/dcdsb.2020175 
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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 
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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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Mugen Huang, Moxun Tang, Jianshe Yu, Bo Zheng. A stage structured model of delay differential equations for Aedes mosquito population suppression. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 34673484. doi: 10.3934/dcds.2020042 
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Rim Bourguiba, Rosana RodríguezLópez. Existence results for fractional differential equations in presence of upper and lower solutions. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 17231747. doi: 10.3934/dcdsb.2020180 
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Pengyu Chen. Nonautonomous stochastic evolution equations with nonlinear noise and nonlocal conditions governed by noncompact evolution families. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020383 
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Lin Shi, Xuemin Wang, Dingshi Li. Limiting behavior of nonautonomous stochastic reactiondiffusion equations with colored noise on unbounded thin domains. Communications on Pure & Applied Analysis, 2020, 19 (12) : 53675386. doi: 10.3934/cpaa.2020242 
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Nicolas Dirr, Hubertus Grillmeier, Günther Grün. On stochastic porousmedium equations with criticalgrowth conservative multiplicative noise. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020388 
[17] 
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 
[18] 
Hua Qiu, ZhengAn Yao. The regularized Boussinesq equations with partial dissipations in dimension two. Electronic Research Archive, 2020, 28 (4) : 13751393. doi: 10.3934/era.2020073 
[19] 
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 
[20] 
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 
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