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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] 
Shaokuan Chen, Shanjian Tang. Semilinear backward stochastic integral partial differential equations driven by a Brownian motion and a Poisson point process. Mathematical Control & Related Fields, 2015, 5 (3) : 401434. doi: 10.3934/mcrf.2015.5.401 
[2] 
Min Zhu, Panpan Ren, Junping Li. Exponential stability of solutions for retarded stochastic differential equations without dissipativity. Discrete & Continuous Dynamical Systems  B, 2017, 22 (7) : 29232938. doi: 10.3934/dcdsb.2017157 
[3] 
Yuncheng You. Pullback uniform dissipativity of stochastic reversible Schnackenberg equations. Conference Publications, 2015, 2015 (special) : 11341142. doi: 10.3934/proc.2015.1134 
[4] 
Arno Berger. Counting uniformly attracting solutions of nonautonomous differential equations. Discrete & Continuous Dynamical Systems  S, 2008, 1 (1) : 1525. doi: 10.3934/dcdss.2008.1.15 
[5] 
Yayun Zheng, Xu Sun. Governing equations for Probability densities of stochastic differential equations with discrete time delays. Discrete & Continuous Dynamical Systems  B, 2017, 22 (9) : 36153628. doi: 10.3934/dcdsb.2017182 
[6] 
Pingping Niu, Shuai Lu, Jin Cheng. On periodic parameter identification in stochastic differential equations. Inverse Problems & Imaging, 2019, 13 (3) : 513543. doi: 10.3934/ipi.2019025 
[7] 
Artem Dudko. Computability of the Julia set. Nonrecurrent critical orbits. Discrete & Continuous Dynamical Systems  A, 2014, 34 (7) : 27512778. doi: 10.3934/dcds.2014.34.2751 
[8] 
Minoo Kamrani. Numerical solution of partial differential equations with stochastic Neumann boundary conditions. Discrete & Continuous Dynamical Systems  B, 2019, 24 (10) : 53375354. doi: 10.3934/dcdsb.2019061 
[9] 
Changrong Zhu, Bin Long. The periodic solutions bifurcated from a homoclinic solution for parabolic differential equations. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 37933808. doi: 10.3934/dcdsb.2016121 
[10] 
Hermann Brunner. The numerical solution of weakly singular Volterra functional integrodifferential equations with variable delays. Communications on Pure & Applied Analysis, 2006, 5 (2) : 261276. doi: 10.3934/cpaa.2006.5.261 
[11] 
Tomás Caraballo, Carlos Ogouyandjou, Fulbert Kuessi Allognissode, Mamadou Abdoul Diop. Existence and exponential stability for neutral stochastic integro–differential equations with impulses driven by a Rosenblatt process. Discrete & Continuous Dynamical Systems  B, 2020, 25 (2) : 507528. doi: 10.3934/dcdsb.2019251 
[12] 
Vladimir Kazakov. Sampling  reconstruction procedure with jitter of markov continuous processes formed by stochastic differential equations of the first order. Conference Publications, 2009, 2009 (Special) : 433441. doi: 10.3934/proc.2009.2009.433 
[13] 
Yong Li, Zhenxin Liu, Wenhe Wang. Almost periodic solutions and stable solutions for stochastic differential equations. Discrete & Continuous Dynamical Systems  B, 2019, 24 (11) : 59275944. doi: 10.3934/dcdsb.2019113 
[14] 
Kai Liu. Stationary solutions of neutral stochastic partial differential equations with delays in the highestorder derivatives. Discrete & Continuous Dynamical Systems  B, 2018, 23 (9) : 39153934. doi: 10.3934/dcdsb.2018117 
[15] 
Carlo Orrieri. A stochastic maximum principle with dissipativity conditions. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 54995519. doi: 10.3934/dcds.2015.35.5499 
[16] 
Hui Liang, Hermann Brunner. Collocation methods for differential equations with piecewise linear delays. Communications on Pure & Applied Analysis, 2012, 11 (5) : 18391857. doi: 10.3934/cpaa.2012.11.1839 
[17] 
Tomás Caraballo, Gábor Kiss. Attractors for differential equations with multiple variable delays. Discrete & Continuous Dynamical Systems  A, 2013, 33 (4) : 13651374. doi: 10.3934/dcds.2013.33.1365 
[18] 
Mohamed Ali Hammami, Lassaad Mchiri, Sana Netchaoui, Stefanie Sonner. Pullback exponential attractors for differential equations with variable delays. Discrete & Continuous Dynamical Systems  B, 2020, 25 (1) : 301319. doi: 10.3934/dcdsb.2019183 
[19] 
Ludwig Arnold, Igor Chueshov. Cooperative random and stochastic differential equations. Discrete & Continuous Dynamical Systems  A, 2001, 7 (1) : 133. doi: 10.3934/dcds.2001.7.1 
[20] 
Miroslava Růžičková, Irada Dzhalladova, Jitka Laitochová, Josef Diblík. Solution to a stochastic pursuit model using moment equations. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 473485. doi: 10.3934/dcdsb.2018032 
2018 Impact Factor: 1.143
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