Yan, Zuomao; Yan, Xingxue Optimal controls for impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients. (English) Zbl 07325659 Int. J. Control 94, No. 1, 111-133 (2021). MSC: 49N25 35R60 49K45 60H15 35B15 43A60 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{X. Yan}, Int. J. Control 94, No. 1, 111--133 (2021; Zbl 07325659) Full Text: DOI
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu Periodic measures of stochastic delay lattice systems. (English) Zbl 07285683 J. Differ. Equations 272, 74-104 (2021). Reviewer: Joseph Shomberg (Providence) MSC: 37L55 37L60 37L40 37L30 60H15 60H10 PDF BibTeX XML Cite \textit{D. Li} et al., J. Differ. Equations 272, 74--104 (2021; Zbl 07285683) Full Text: DOI
Xu, Yong; Wang, Ruifang Averaging principles for nonautonomous two-time-scale stochastic reaction-diffusion equations with jump. (English) Zbl 1451.60073 Complexity 2020, Article ID 9864352, 22 p. (2020). MSC: 60H15 35K57 35R60 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{R. Wang}, Complexity 2020, Article ID 9864352, 22 p. (2020; Zbl 1451.60073) Full Text: DOI
Cheban, David; Liu, Zhenxin Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations. (English) Zbl 1444.34070 J. Differ. Equations 269, No. 4, 3652-3685 (2020). Reviewer: Melvin D. Lax (Long Beach) MSC: 34F05 34C25 34C27 37B20 60H10 34D20 43A60 PDF BibTeX XML Cite \textit{D. Cheban} and \textit{Z. Liu}, J. Differ. Equations 269, No. 4, 3652--3685 (2020; Zbl 1444.34070) Full Text: DOI
Ma, Xiao; Shu, Xiao-Bao; Mao, Jianzhong Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay. (English) Zbl 1442.34125 Stoch. Dyn. 20, No. 1, Article ID 2050003, 31 p. (2020). Reviewer: Syed Abbas (Mandi) MSC: 34K37 34K40 34K30 34K45 34K50 34K14 PDF BibTeX XML Cite \textit{X. Ma} et al., Stoch. Dyn. 20, No. 1, Article ID 2050003, 31 p. (2020; Zbl 1442.34125) Full Text: DOI
Cao, Junfei; Huang, Zaitang Asymptotic almost periodicity of stochastic evolution equations. (English) Zbl 1427.34080 Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2295-2332 (2019). MSC: 34F05 34C27 34G20 PDF BibTeX XML Cite \textit{J. Cao} and \textit{Z. Huang}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2295--2332 (2019; Zbl 1427.34080) Full Text: DOI
Yan, Zuomao; Lu, Fangxia Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay. (English) Zbl 1421.93122 Int. J. Control 92, No. 9, 2037-2063 (2019). MSC: 93D20 93C15 93C20 34A37 60H15 35R60 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{F. Lu}, Int. J. Control 92, No. 9, 2037--2063 (2019; Zbl 1421.93122) Full Text: DOI
Cui, Jing; Rong, Wenping Existence and stability of \(\mu\)-pseudo almost automorphic solutions for stochastic evolution equations. (English) Zbl 1418.60071 Front. Math. China 14, No. 2, 261-280 (2019). MSC: 60H15 60G51 34C27 35R60 PDF BibTeX XML Cite \textit{J. Cui} and \textit{W. Rong}, Front. Math. China 14, No. 2, 261--280 (2019; Zbl 1418.60071) Full Text: DOI
Chen, Feng; Zhang, Xiaoying Almost automorphic solutions for mean-field stochastic differential equations driven by fractional Brownian motion. (English) Zbl 07054373 Stochastic Anal. Appl. 37, No. 1, 1-18 (2019). MSC: 34C27 60H10 60E05 93C30 PDF BibTeX XML Cite \textit{F. Chen} and \textit{X. Zhang}, Stochastic Anal. Appl. 37, No. 1, 1--18 (2019; Zbl 07054373) Full Text: DOI
Gao, Peng The solutions with recurrence property for stochastic linearly coupled complex cubic-quintic Ginzburg-Landau equations. (English) Zbl 1410.35293 Stoch. Dyn. 19, No. 1, Article ID 1950005, 42 p. (2019). MSC: 35R60 60H15 PDF BibTeX XML Cite \textit{P. Gao}, Stoch. Dyn. 19, No. 1, Article ID 1950005, 42 p. (2019; Zbl 1410.35293) Full Text: DOI
Yan, Zuomao; Lu, Fangxia Pseudo almost periodic solutions to impulsive non-autonomous stochastic differential equations with unbounded delay and its optimal control. (English) Zbl 1411.34107 J. Dyn. Control Syst. 25, No. 1, 45-78 (2019). MSC: 34K30 60H15 34K50 34K45 34K14 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{F. Lu}, J. Dyn. Control Syst. 25, No. 1, 45--78 (2019; Zbl 1411.34107) Full Text: DOI
Yan, Zuomao; Jia, Xiumei Pseudo almost periodic in distribution solutions and optimal solutions to impulsive partial stochastic differential equations with infinite delay. (English) Zbl 07303489 J. Appl. Anal. Comput. 8, No. 5, 1396-1440 (2018). MSC: 34K30 34K50 34K45 34K14 47N20 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{X. Jia}, J. Appl. Anal. Comput. 8, No. 5, 1396--1440 (2018; Zbl 07303489) Full Text: DOI
Yan, Zuomao; Jia, Xiumei Pseudo almost periodicity and its applications to impulsive nonautonomous partial functional stochastic evolution equations. (English) Zbl 1401.34025 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 5, 511-529 (2018). MSC: 34A37 34F05 35B15 60H15 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{X. Jia}, Int. J. Nonlinear Sci. Numer. Simul. 19, No. 5, 511--529 (2018; Zbl 1401.34025) Full Text: DOI
Li, Zhi; Yan, Litan; Xu, Liping Stepanov-like almost automorphic solutions for stochastic differential equations with Lévy noise. (English) Zbl 1390.60240 Commun. Stat., Theory Methods 47, No. 6, 1350-1371 (2018). MSC: 60H15 60G15 60H05 PDF BibTeX XML Cite \textit{Z. Li} et al., Commun. Stat., Theory Methods 47, No. 6, 1350--1371 (2018; Zbl 1390.60240) Full Text: DOI
Diop, Mamadou Abdoul; Ezzinbi, Khalil; Mbaye, Mamadou Moustapha Measure theory and square-mean pseudo almost periodic and automorphic process: application to stochastic evolution equations. (English) Zbl 1388.34057 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 287-310 (2018). Reviewer: Gisèle M. Mophou (Pointe-à-Pitre) MSC: 34F05 34G20 34C27 35B15 35K55 43A60 60G20 PDF BibTeX XML Cite \textit{M. A. Diop} et al., Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 287--310 (2018; Zbl 1388.34057) Full Text: DOI
Gao, Peng Some periodic type solutions for stochastic reaction-diffusion equation with cubic nonlinearities. (English) Zbl 1394.35590 Comput. Math. Appl. 74, No. 10, 2281-2297 (2017). MSC: 35R60 35K57 35K91 60H15 PDF BibTeX XML Cite \textit{P. Gao}, Comput. Math. Appl. 74, No. 10, 2281--2297 (2017; Zbl 1394.35590) Full Text: DOI
Cerrai, Sandra; Lunardi, Alessandra Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. (English) Zbl 1370.60102 SIAM J. Math. Anal. 49, No. 4, 2843-2884 (2017). MSC: 60H15 35R60 34K33 35K57 37A25 37L40 PDF BibTeX XML Cite \textit{S. Cerrai} and \textit{A. Lunardi}, SIAM J. Math. Anal. 49, No. 4, 2843--2884 (2017; Zbl 1370.60102) Full Text: DOI
Diop, Mamadou Abdoul; Ezzinbi, Khalil; Mbaye, Mamadou Moustapha Existence and global attractiveness of a square-mean \(\mu\)-pseudo almost automorphic solution for some stochastic evolution equation driven by Lévy noise. (English) Zbl 1369.34104 Math. Nachr. 290, No. 8-9, 1260-1280 (2017). MSC: 34K50 34K14 34K30 35B15 35K55 43A60 60G20 PDF BibTeX XML Cite \textit{M. A. Diop} et al., Math. Nachr. 290, No. 8--9, 1260--1280 (2017; Zbl 1369.34104) Full Text: DOI
Mbaye, Mamadou Moustapha Square-mean \(\mu \)-pseudo almost periodic and automophic solutions for a class of semilinear integro-differential stochastic evolution equations. (English) Zbl 1369.34092 Afr. Mat. 28, No. 3-4, 643-660 (2017). MSC: 34K14 34K30 34K50 43A60 60G20 PDF BibTeX XML Cite \textit{M. M. Mbaye}, Afr. Mat. 28, No. 3--4, 643--660 (2017; Zbl 1369.34092) Full Text: DOI
Sun, Kai; Wang, Yan Almost automorphic solutions for stochastic differential equations driven by Lévy noise with exponential dichotomy. (English) Zbl 1359.60074 Stochastic Anal. Appl. 35, No. 2, 211-236 (2017). MSC: 60H10 34C27 60G51 34G20 PDF BibTeX XML Cite \textit{K. Sun} and \textit{Y. Wang}, Stochastic Anal. Appl. 35, No. 2, 211--236 (2017; Zbl 1359.60074) Full Text: DOI
Boudref, Mohamed-Ahmed; Berboucha, Ahmed Existence of almost periodic solutions of stochastic differential equations with periodic coefficients. (English) Zbl 1359.60071 Random Oper. Stoch. Equ. 25, No. 1, 57-70 (2017). MSC: 60H10 34F05 34C27 34G10 PDF BibTeX XML Cite \textit{M.-A. Boudref} and \textit{A. Berboucha}, Random Oper. Stoch. Equ. 25, No. 1, 57--70 (2017; Zbl 1359.60071) Full Text: DOI
Yan, Zuomao; Lu, Fangxia Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations. (English) Zbl 1419.34076 Adv. Difference Equ. 2016, Paper No. 294, 37 p. (2016). MSC: 34A37 34D05 60H10 35B15 34F05 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{F. Lu}, Adv. Difference Equ. 2016, Paper No. 294, 37 p. (2016; Zbl 1419.34076) Full Text: DOI
Mbaye, Mamadou Moustapha Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients \(S^{2}\)-almost automorphic. (English) Zbl 1345.60057 Nonauton. Dyn. Syst. 3, 85-103 (2016). MSC: 60H15 60G51 60G20 35R60 43A60 PDF BibTeX XML Cite \textit{M. M. Mbaye}, Nonauton. Dyn. Syst. 3, 85--103 (2016; Zbl 1345.60057) Full Text: DOI
Liu, Zhenxin; Wang, Wenhe Favard separation method for almost periodic stochastic differential equations. (English) Zbl 1335.60095 J. Differ. Equations 260, No. 11, 8109-8136 (2016). MSC: 60H10 34F05 34C27 42A75 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{W. Wang}, J. Differ. Equations 260, No. 11, 8109--8136 (2016; Zbl 1335.60095) Full Text: DOI arXiv
Diop, Mamadou Abdoul; Ezzinbi, Khalil; Mbaye, Mamadou Moustapha Existence and global attractiveness of a pseudo almost periodic solution in \(p\)-th mean sense for stochastic evolution equation driven by a fractional Brownian motion. (English) Zbl 1337.60137 Stochastics 87, No. 6, 1061-1093 (2015). MSC: 60H15 60G22 60G20 35R60 35B15 PDF BibTeX XML Cite \textit{M. A. Diop} et al., Stochastics 87, No. 6, 1061--1093 (2015; Zbl 1337.60137) Full Text: DOI
Zhang, Miao; Zong, Gaofeng Almost periodic solutions for stochastic differential equations driven by \(G\)-Brownian motion. (English) Zbl 1330.60077 Commun. Stat., Theory Methods 44, No. 11, 2371-2384 (2015). MSC: 60H10 60H20 34F05 34C27 34G20 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{G. Zong}, Commun. Stat., Theory Methods 44, No. 11, 2371--2384 (2015; Zbl 1330.60077) Full Text: DOI
Bedouhene, Fazia; Challali, Nouredine; Mellah, Omar; Raynaud de Fitte, Paul; Smaali, Mannal Almost automorphy and various extensions for stochastic processes. (English) Zbl 1338.60135 J. Math. Anal. Appl. 429, No. 2, 1113-1152 (2015). MSC: 60G99 60H10 PDF BibTeX XML Cite \textit{F. Bedouhene} et al., J. Math. Anal. Appl. 429, No. 2, 1113--1152 (2015; Zbl 1338.60135) Full Text: DOI
Li, Kexue Weighted pseudo almost automorphic solutions for nonautonomous SPDEs driven by Lévy noise. (English) Zbl 1333.60138 J. Math. Anal. Appl. 427, No. 2, 686-721 (2015). Reviewer: Romeo Negrea (Timişoara) MSC: 60H15 60G51 35R60 34K50 34K14 PDF BibTeX XML Cite \textit{K. Li}, J. Math. Anal. Appl. 427, No. 2, 686--721 (2015; Zbl 1333.60138) Full Text: DOI
Li, Xi Liang Square-mean almost periodic solutions to some stochastic evolution equations. (English) Zbl 1302.34116 Acta Math. Sin., Engl. Ser. 30, No. 5, 881-898 (2014). Reviewer: Arne Ogrowsky (München) MSC: 34K30 34K14 34K50 34K25 34K20 PDF BibTeX XML Cite \textit{X. L. Li}, Acta Math. Sin., Engl. Ser. 30, No. 5, 881--898 (2014; Zbl 1302.34116) Full Text: DOI
Liu, Zhenxin; Sun, Kai Almost automorphic solutions for stochastic differential equations driven by Lévy noise. (English) Zbl 1291.60121 J. Funct. Anal. 266, No. 3, 1115-1149 (2014). MSC: 60H10 60G51 47N30 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{K. Sun}, J. Funct. Anal. 266, No. 3, 1115--1149 (2014; Zbl 1291.60121) Full Text: DOI
Chen, Zhang; Lin, Wei Square-mean weighted pseudo almost automorphic solutions for non-autonomous stochastic evolution equations. (English) Zbl 1286.34082 J. Math. Pures Appl. (9) 100, No. 4, 476-504 (2013). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 34F05 34C27 34D23 34G20 60H10 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{W. Lin}, J. Math. Pures Appl. (9) 100, No. 4, 476--504 (2013; Zbl 1286.34082) Full Text: DOI
Li, Xi-liang; Han, Yu-liang Almost automorphic solutions to nonautonomous stochastic functional integrodifferential equations. (English) Zbl 1275.45007 Abstr. Appl. Anal. 2013, Article ID 473969, 13 p. (2013). MSC: 45N05 45R05 45J05 45G10 47H08 45M10 PDF BibTeX XML Cite \textit{X.-l. Li} and \textit{Y.-l. Han}, Abstr. Appl. Anal. 2013, Article ID 473969, 13 p. (2013; Zbl 1275.45007) Full Text: DOI
Crewe, P. Almost periodic solutions to stochastic evolution equations on Banach spaces. (English) Zbl 1272.60042 Stoch. Dyn. 13, No. 3, Article ID 1250027, 23 p. (2013). MSC: 60H15 35R60 PDF BibTeX XML Cite \textit{P. Crewe}, Stoch. Dyn. 13, No. 3, Article ID 1250027, 23 p. (2013; Zbl 1272.60042) Full Text: DOI
Cui, Jing; Yan, Litan On almost automorphic mild solutions for nonautonomous stochastic evolution equations. (English) Zbl 1257.34044 Abstr. Appl. Anal. 2012, Article ID 870831, 25 p. (2012). MSC: 34G20 60H10 43A60 PDF BibTeX XML Cite \textit{J. Cui} and \textit{L. Yan}, Abstr. Appl. Anal. 2012, Article ID 870831, 25 p. (2012; Zbl 1257.34044) Full Text: DOI
Fu, Miaomiao Almost automorphic solutions for nonautonomous stochastic differential equations. (English) Zbl 1244.60056 J. Math. Anal. Appl. 393, No. 1, 231-238 (2012). MSC: 60H10 PDF BibTeX XML Cite \textit{M. Fu}, J. Math. Anal. Appl. 393, No. 1, 231--238 (2012; Zbl 1244.60056) Full Text: DOI
Cao, Junfei; Yang, Qigui; Huang, Zaitang On almost periodic mild solutions for stochastic functional differential equations. (English) Zbl 1244.34100 Nonlinear Anal., Real World Appl. 13, No. 1, 275-286 (2012). MSC: 34K50 34K14 34K20 47N20 PDF BibTeX XML Cite \textit{J. Cao} et al., Nonlinear Anal., Real World Appl. 13, No. 1, 275--286 (2012; Zbl 1244.34100) Full Text: DOI
Bedouhene, Fazia; Mellah, Omar; Raynaud De Fitte, Paul Bochner-almost periodicity for stochastic processes. (English) Zbl 1258.60030 Stochastic Anal. Appl. 30, No. 2, 322-342 (2012). Reviewer: Toader Morozan (Bucureşti) MSC: 60G05 60H10 34C27 PDF BibTeX XML Cite \textit{F. Bedouhene} et al., Stochastic Anal. Appl. 30, No. 2, 322--342 (2012; Zbl 1258.60030) Full Text: DOI
Chang, Yong-Kui; Zhao, Zhi-Han; N’Guérékata, Gaston M. Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space. (English) Zbl 1266.60101 Adv. Difference Equ. 2011, Paper No. 9, 12 p. (2011). MSC: 60H10 47H09 43A60 PDF BibTeX XML Cite \textit{Y.-K. Chang} et al., Adv. Difference Equ. 2011, Paper No. 9, 12 p. (2011; Zbl 1266.60101) Full Text: DOI
Chen, Zhang; Lin, Wei Square-mean pseudo almost automorphic process and its application to stochastic evolution equations. (English) Zbl 1233.60030 J. Funct. Anal. 261, No. 1, 69-89 (2011). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H10 43A60 60H30 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{W. Lin}, J. Funct. Anal. 261, No. 1, 69--89 (2011; Zbl 1233.60030) Full Text: DOI
Chang, Yong-Kui; Zhao, Zhi-Han; N’guérékata, G. M. Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces. (English) Zbl 1211.60025 Comput. Math. Appl. 61, No. 2, 384-391 (2011). MSC: 60H25 60H10 34C27 PDF BibTeX XML Cite \textit{Y.-K. Chang} et al., Comput. Math. Appl. 61, No. 2, 384--391 (2011; Zbl 1211.60025) Full Text: DOI
Chang, Yong-Kui; Zhao, Zhi-Han; N’Guérékata, G. M. A new composition theorem for square-mean almost automorphic functions and applications to stochastic differential equations. (English) Zbl 1217.60043 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2210-2219 (2011). MSC: 60H10 35B15 PDF BibTeX XML Cite \textit{Y.-K. Chang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2210--2219 (2011; Zbl 1217.60043) Full Text: DOI
Chang, Yong-Kui; Zhao, Zhi-Han; N’Guérékata, G. M.; Ma, Ruyun Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations. (English) Zbl 1209.60034 Nonlinear Anal., Real World Appl. 12, No. 2, 1130-1139 (2011). MSC: 60H10 PDF BibTeX XML Cite \textit{Y.-K. Chang} et al., Nonlinear Anal., Real World Appl. 12, No. 2, 1130--1139 (2011; Zbl 1209.60034) Full Text: DOI
Fu, Miaomiao; Liu, Zhenxin Square-mean almost automorphic solutions for some stochastic differential equations. (English) Zbl 1202.60109 Proc. Am. Math. Soc. 138, No. 10, 3689-3701 (2010). MSC: 60H25 34C27 34F05 34G20 60H10 PDF BibTeX XML Cite \textit{M. Fu} and \textit{Z. Liu}, Proc. Am. Math. Soc. 138, No. 10, 3689--3701 (2010; Zbl 1202.60109) Full Text: DOI arXiv
Bezandry, Paul H.; Diagana, Toka Existence of square-mean almost periodic solutions to some stochastic hyperbolic differential equations with infinite delay. (English) Zbl 1197.34161 Commun. Math. Anal. 8, No. 2, 103-124 (2010). MSC: 34K50 35R60 43A60 47D06 35L90 34K14 PDF BibTeX XML Cite \textit{P. H. Bezandry} and \textit{T. Diagana}, Commun. Math. Anal. 8, No. 2, 103--124 (2010; Zbl 1197.34161) Full Text: Euclid
Bezandry, Paul H.; Diagana, Toka Existence of almost periodic solutions to some stochastic differential equations. (English) Zbl 1130.34033 Appl. Anal. 86, No. 7, 819-827 (2007). Reviewer: Henri Schurz (Carbondale) MSC: 34F05 34C27 35B15 37L55 60H10 60H15 60H20 60H25 PDF BibTeX XML Cite \textit{P. H. Bezandry} and \textit{T. Diagana}, Appl. Anal. 86, No. 7, 819--827 (2007; Zbl 1130.34033) Full Text: DOI
Motyl, Jerzy Viable solutions of set-valued stochastic equation. (English) Zbl 0964.93075 Optimization 48, No. 2, 157-176 (2000). Reviewer: Marc Quincampoix (Brest) MSC: 93E03 60H20 PDF BibTeX XML Cite \textit{J. Motyl}, Optimization 48, No. 2, 157--176 (2000; Zbl 0964.93075) Full Text: DOI
Grecksch, W.; Tudor, C. Parabolic regularization of a first order stochastic partial differential equation. (English) Zbl 0963.60054 Stochastic Anal. Appl. 18, No. 3, 397-416 (2000). Reviewer: Dirk Blömker (Augsburg) MSC: 60H15 35F25 PDF BibTeX XML Cite \textit{W. Grecksch} and \textit{C. Tudor}, Stochastic Anal. Appl. 18, No. 3, 397--416 (2000; Zbl 0963.60054) Full Text: DOI