El Hassan, Lakhel Neutral stochastic functional differential evolution equations driven by Rosenblatt process with varying-time delays. (English) Zbl 07289322 Proyecciones 38, No. 4, 665-689 (2019). MSC: 60H15 60G15 60H20 60G22 PDF BibTeX XML Cite \textit{L. El Hassan}, Proyecciones 38, No. 4, 665--689 (2019; Zbl 07289322) Full Text: DOI
Cui, Jing; Liang, Qiuju; Bi, Nana Asymptotic stability of impulsive neutral stochastic functional differential equation driven by fractional Brownian motion. (Chinese. English summary) Zbl 1449.34279 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 3, 570-581 (2019). MSC: 34K50 34K20 34K40 34K45 60G22 34K30 47N20 PDF BibTeX XML Cite \textit{J. Cui} et al., Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 3, 570--581 (2019; Zbl 1449.34279)
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
Dhama, Soniya; Abbas, Syed Existence and stability of square-mean almost automorphic solution for neutral stochastic evolution equations with Stepanov-like terms on time scales. (English) Zbl 1421.34061 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1231-1250 (2019). MSC: 34N05 43A60 34K30 34K50 34K40 34K20 34K14 PDF BibTeX XML Cite \textit{S. Dhama} and \textit{S. Abbas}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1231--1250 (2019; Zbl 1421.34061) Full Text: DOI
Lakhel, El Hassan; Tlidi, Abdelmonaim Controllability of time-dependent neutral stochastic functional differential equations driven by a fractional Brownian motion. (English) Zbl 1438.35418 J. Nonlinear Sci. Appl. 11, No. 6, 850-863 (2018). MSC: 35R10 60H15 60G15 60J65 PDF BibTeX XML Cite \textit{E. H. Lakhel} and \textit{A. Tlidi}, J. Nonlinear Sci. Appl. 11, No. 6, 850--863 (2018; Zbl 1438.35418) Full Text: DOI
Lakhel, E. Controllability results for time-dependent impulsive neutral stochastic functional differential equations driven by a fractional Brownian motion. (English) Zbl 1438.35417 J. Numer. Math. Stoch. 10, No. 1, 1-19 (2018). MSC: 35R10 60H15 60G15 60J65 PDF BibTeX XML Cite \textit{E. Lakhel}, J. Numer. Math. Stoch. 10, No. 1, 1--19 (2018; Zbl 1438.35417) Full Text: Link
Boufoussi, B.; Lakhel, E.; Tlidi, A. Neutral stochastic functional differential evolution equations with varying-time delays driven by Rosenblatt process in Hilbert spaces. (English) Zbl 1420.60079 Gulf J. Math. 6, No. 1, 89-103 (2018). MSC: 60H15 60G18 PDF BibTeX XML Cite \textit{B. Boufoussi} et al., Gulf J. Math. 6, No. 1, 89--103 (2018; Zbl 1420.60079) Full Text: Link
Huang, Hao; Wu, Zheng; Hu, Ling; Wei, Zhangzhi; Wang, Lianglong Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay. (English) Zbl 1387.34107 J. Fixed Point Theory Appl. 20, No. 1, Paper No. 9, 27 p. (2018). MSC: 34K30 34K50 34K45 93B05 34K35 47N20 PDF BibTeX XML Cite \textit{H. Huang} et al., J. Fixed Point Theory Appl. 20, No. 1, Paper No. 9, 27 p. (2018; Zbl 1387.34107) Full Text: DOI
Zhou, Yong; Peng, Li; Ahmad, Bashir; Alsaedi, Ahmed Topological properties of solution sets of fractional stochastic evolution inclusions. (English) Zbl 1422.34184 Adv. Difference Equ. 2017, Paper No. 90, 20 p. (2017). MSC: 34G25 34F05 34K40 60H10 26A33 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Adv. Difference Equ. 2017, Paper No. 90, 20 p. (2017; Zbl 1422.34184) Full Text: DOI
Cui, Jing; Shen, Guangjun Almost automorphic solutions to stochastic evolution equations driven by Lévy processes. (English) Zbl 1399.60109 Chin. J. Appl. Probab. Stat. 33, No. 5, 450-466 (2017). MSC: 60H15 60G51 PDF BibTeX XML Cite \textit{J. Cui} and \textit{G. Shen}, Chin. J. Appl. Probab. Stat. 33, No. 5, 450--466 (2017; Zbl 1399.60109) Full Text: DOI
Xu, Daoyi Wellposedness and asymptotic behavior of neutral stochastic evolution systems. (Chinese. English summary) Zbl 1399.34226 J. Nanjing Univ. Inf. Sci. Technol., Nat. Sci. 9, No. 4, 400-405 (2017). MSC: 34K30 34K40 34K50 60H10 PDF BibTeX XML Cite \textit{D. Xu}, J. Nanjing Univ. Inf. Sci. Technol., Nat. Sci. 9, No. 4, 400--405 (2017; Zbl 1399.34226) Full Text: DOI
Pei, Bin; Xu, Yong Mild solutions of local non-Lipschitz neutral stochastic functional evolution equations driven by jumps modulated by Markovian switching. (English) Zbl 1362.60062 Stochastic Anal. Appl. 35, No. 3, 391-408 (2017). MSC: 60H15 60H20 60J75 60G40 PDF BibTeX XML Cite \textit{B. Pei} and \textit{Y. Xu}, Stochastic Anal. Appl. 35, No. 3, 391--408 (2017; Zbl 1362.60062) Full Text: DOI
Ahmed, N. U. Measure valued solutions for neutral equations. (English) Zbl 1391.34002 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 7. Proceedings of the 7th international conference, Morehouse College, Atlanta, GA, USA, May 27–30, 2015. Atlanta, GA: Dynamic Publishers (ISBN 1-890888-07-9/hbk). 13-23 (2016). MSC: 34-02 34G20 34A09 60H10 PDF BibTeX XML Cite \textit{N. U. Ahmed}, in: Dynamic systems and applications. Vol. 7. Proceedings of the 7th international conference, Morehouse College, Atlanta, GA, USA, May 27--30, 2015. Atlanta, GA: Dynamic Publishers. 13--23 (2016; Zbl 1391.34002)
Li, Zhi; Xu, Liping; Li, Xiong On time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays. (English) Zbl 1373.60112 Bull. Iran. Math. Soc. 42, No. 6, 1479-1496 (2016). MSC: 60H15 60G22 PDF BibTeX XML Cite \textit{Z. Li} et al., Bull. Iran. Math. Soc. 42, No. 6, 1479--1496 (2016; Zbl 1373.60112) Full Text: Link
Govindan, T. E. Yosida approximations of stochastic differential equations in infinite dimensions and applications. (English) Zbl 1377.60004 Probability Theory and Stochastic Modelling 79. Cham: Springer (ISBN 978-3-319-45682-9/hbk; 978-3-319-45684-3/ebook). xix, 407 p. (2016). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60-02 60H10 60H15 60H20 60H30 60H25 93D09 93D20 93E15 93E20 37L55 PDF BibTeX XML Cite \textit{T. E. Govindan}, Yosida approximations of stochastic differential equations in infinite dimensions and applications. Cham: Springer (2016; Zbl 1377.60004) Full Text: DOI
Parthasarathy, Chinnasamy Existence and stability solutions of second-order partial neutral stochastic nonlinear differential systems with infinite delay. (English) Zbl 1343.34169 Int. J. Dyn. Syst. Differ. Equ. 5, No. 3, 220-235 (2015). MSC: 34K30 34K50 34K40 34K07 PDF BibTeX XML Cite \textit{C. Parthasarathy}, Int. J. Dyn. Syst. Differ. Equ. 5, No. 3, 220--235 (2015; Zbl 1343.34169) Full Text: DOI
Ren, Yong; Hou, Tingting; Sakthivel, R.; Cheng, Xing A note on the second-order non-autonomous neutral stochastic evolution equations with infinite delay under Carathéodory conditions. (English) Zbl 1410.60059 Appl. Math. Comput. 232, 658-665 (2014). MSC: 60H10 34F05 PDF BibTeX XML Cite \textit{Y. Ren} et al., Appl. Math. Comput. 232, 658--665 (2014; Zbl 1410.60059) Full Text: DOI
Revathi, P.; Sakthivel, R.; Ren, Yong; Marshal Anthoni, S. Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations. (English) Zbl 1410.34247 Appl. Math. Comput. 230, 639-649 (2014). MSC: 34K50 34K14 34K40 60H15 PDF BibTeX XML Cite \textit{P. Revathi} et al., Appl. Math. Comput. 230, 639--649 (2014; Zbl 1410.34247) Full Text: DOI
Ahmed, N. U. Stochastic neutral evolution equations on Hilbert spaces and their partially observed optimal relaxed control. (English) Zbl 1341.49019 J. Abstr. Differ. Equ. Appl. 5, No. 1, 1-20 (2014). MSC: 49J55 60H15 49J27 93E20 93B03 PDF BibTeX XML Cite \textit{N. U. Ahmed}, J. Abstr. Differ. Equ. Appl. 5, No. 1, 1--20 (2014; Zbl 1341.49019) Full Text: Link
Li, Zhi; Liu, Kai; Luo, Jiaowan On almost periodic mild solutions for neutral stochastic evolution equations with infinite delay. (English) Zbl 1314.60129 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 110, 182-190 (2014). MSC: 60H15 60H05 60G15 PDF BibTeX XML Cite \textit{Z. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 110, 182--190 (2014; Zbl 1314.60129) Full Text: DOI
Ahmed, N. U. Stochastic neutral evolution equations on Hilbert spaces with partially observed relaxed control and their necessary conditions of optimality. (English) Zbl 1285.49017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 101, 66-79 (2014). MSC: 49K45 49K27 93E20 60H15 PDF BibTeX XML Cite \textit{N. U. Ahmed}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 101, 66--79 (2014; Zbl 1285.49017) Full Text: DOI
Cui, Jing; Yan, Litan Successive approximation of neutral stochastic evolution equations with infinite delay and Poisson jumps. (English) Zbl 1248.34120 Appl. Math. Comput. 218, No. 12, 6776-6784 (2012). Reviewer: Yong Ren (Wuhu) MSC: 34K50 34K30 34K40 34A45 PDF BibTeX XML Cite \textit{J. Cui} and \textit{L. Yan}, Appl. Math. Comput. 218, No. 12, 6776--6784 (2012; Zbl 1248.34120) Full Text: DOI
Ning, Han Wen; Liu, Bin Existence results for impulsive neutral stochastic evolution inclusions in Hilbert space. (English) Zbl 1364.34094 Acta Math. Sin., Engl. Ser. 27, No. 7, 1405-1418 (2011). MSC: 34K09 34K50 34K30 34K45 34K40 47N20 PDF BibTeX XML Cite \textit{H. W. Ning} and \textit{B. Liu}, Acta Math. Sin., Engl. Ser. 27, No. 7, 1405--1418 (2011; Zbl 1364.34094) Full Text: DOI
Luo, Jiaowan; Xu, Yongfeng; Mo, Chi A note of the existence and uniqueness for non-Lipschitz stochastic neutral delay evolution equations driven by Poisson jumps. (English) Zbl 1240.60159 J. Guangzhou Univ., Nat. Sci. 9, No. 3, 4-6 (2010). MSC: 60H10 PDF BibTeX XML Cite \textit{J. Luo} et al., J. Guangzhou Univ., Nat. Sci. 9, No. 3, 4--6 (2010; Zbl 1240.60159)
Ren, Y.; Sun, D. D. Second-order neutral stochastic evolution equations with infinite delay under Carathéodory conditions. (English) Zbl 1208.60058 J. Optim. Theory Appl. 147, No. 3, 569-582 (2010). MSC: 60H10 34K40 34K50 PDF BibTeX XML Cite \textit{Y. Ren} and \textit{D. D. Sun}, J. Optim. Theory Appl. 147, No. 3, 569--582 (2010; Zbl 1208.60058) Full Text: DOI
Balasubramaniam, P.; Park, J. Y.; Kumar, A. Vincent Antony Existence of solutions for semilinear neutral stochastic functional differential equations with nonlocal conditions. (English) Zbl 1171.34054 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 1049-1058 (2009). MSC: 34K50 34K40 34K30 PDF BibTeX XML Cite \textit{P. Balasubramaniam} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 1049--1058 (2009; Zbl 1171.34054) Full Text: DOI
Luo, Jiaowan; Taniguchi, Takeshi The existence and uniqueness for non-Lipschitz stochastic neutral delay evolution equations driven by Poisson jumps. (English) Zbl 1167.60336 Stoch. Dyn. 9, No. 1, 135-152 (2009). MSC: 60H15 60H20 PDF BibTeX XML Cite \textit{J. Luo} and \textit{T. Taniguchi}, Stoch. Dyn. 9, No. 1, 135--152 (2009; Zbl 1167.60336) Full Text: DOI
Lawson, Daniel John; Jensen, Henrik Jeldtoft Understanding clustering in type space using field theoretic techniques. (English) Zbl 1142.92033 Bull. Math. Biol. 70, No. 4, 1065-1081 (2008). MSC: 92D15 60J85 60K35 60H15 60H30 PDF BibTeX XML Cite \textit{D. J. Lawson} and \textit{H. J. Jensen}, Bull. Math. Biol. 70, No. 4, 1065--1081 (2008; Zbl 1142.92033) Full Text: DOI
Li, Yong; Liu, Bing Existence of solution of nonlinear neutral stochastic differential inclusions with infinite delay. (English) Zbl 1182.35243 Stochastic Anal. Appl. 25, No. 2, 397-415 (2007). MSC: 35R60 35R70 35R10 60H10 60H15 34G25 34K30 PDF BibTeX XML Cite \textit{Y. Li} and \textit{B. Liu}, Stochastic Anal. Appl. 25, No. 2, 397--415 (2007; Zbl 1182.35243) Full Text: DOI
Govindan, T. E. Trotter-Kato approximations of semilinear stochastic evolution equations. (English) Zbl 1131.60060 Bol. Soc. Mat. Mex., III. Ser. 12, No. 1, 109-120 (2006). MSC: 60H15 34K40 47D06 47N20 PDF BibTeX XML Cite \textit{T. E. Govindan}, Bol. Soc. Mat. Mex., III. Ser. 12, No. 1, 109--120 (2006; Zbl 1131.60060)
Mahmudov, N. I.; McKibben, M. A. Approximate controllability of second-order neutral stochastic evolution equations. (English) Zbl 1121.34082 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 5, 619-634 (2006). Reviewer: Abdelghani Ouahab (Sidi Bel Abbes) MSC: 34K35 93B05 60H10 34G20 34K40 34K30 PDF BibTeX XML Cite \textit{N. I. Mahmudov} and \textit{M. A. McKibben}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 5, 619--634 (2006; Zbl 1121.34082) Full Text: Link
Liu, Kai; Chen, Anyue An improved result of exponential stability of stochastic semilinear evolution equations. (English) Zbl 0949.60074 Int. J. Differ. Equ. Appl. 1, No. 1, 99-112 (2000). MSC: 60H15 34K40 PDF BibTeX XML Cite \textit{K. Liu} and \textit{A. Chen}, Int. J. Differ. Equ. Appl. 1, No. 1, 99--112 (2000; Zbl 0949.60074)
Nath, H. B.; Griffiths, R. C. Estimation in an island model using simulation. (English) Zbl 0871.62095 Theor. Popul. Biol. 50, No. 3, 227-253 (1996). MSC: 62P10 92D10 65C99 92D15 PDF BibTeX XML Cite \textit{H. B. Nath} and \textit{R. C. Griffiths}, Theor. Popul. Biol. 50, No. 3, 227--253 (1996; Zbl 0871.62095) Full Text: DOI
Indel’man, P. V.; Shvidler, M. I. Averaging of stochastic evolution equations of transport in porous media. (English. Russian original) Zbl 0603.76098 Fluid Dyn. 20, 775-784 (1985); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1985, No. 5, 127-136 (1985). MSC: 76S05 35R60 PDF BibTeX XML Cite \textit{P. V. Indel'man} and \textit{M. I. Shvidler}, Fluid Dyn. 20, 775--784 (1985; Zbl 0603.76098); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1985, No. 5, 127--136 (1985) Full Text: DOI