Govindan, T. E. Trotter-Kato approximations of stochastic neutral partial functional differential equations. (English) Zbl 1490.60196 Indian J. Pure Appl. Math. 52, No. 3, 822-836 (2021). MSC: 60H20 PDFBibTeX XMLCite \textit{T. E. Govindan}, Indian J. Pure Appl. Math. 52, No. 3, 822--836 (2021; Zbl 1490.60196) Full Text: DOI
Bakka, A.; Hajji, S.; Kiouach, D. Global attracting sets of neutral stochastic functional integro-differential equations driven by a fractional Brownian motion. (English) Zbl 1479.60142 Random Oper. Stoch. Equ. 29, No. 3, 149-159 (2021). MSC: 60H20 60H15 60G22 PDFBibTeX XMLCite \textit{A. Bakka} et al., Random Oper. Stoch. Equ. 29, No. 3, 149--159 (2021; Zbl 1479.60142) Full Text: DOI
Huang, Hai; Fu, Xianlong Asymptotic properties of solutions for impulsive neutral stochastic functional integro-differential equations. (English) Zbl 1469.45011 J. Math. Phys. 62, No. 1, Article ID 013301, 18 p. (2021). Reviewer: Nikolaos Halidias (Athína) MSC: 45M05 45M10 45K05 45R05 60H20 PDFBibTeX XMLCite \textit{H. Huang} and \textit{X. Fu}, J. Math. Phys. 62, No. 1, Article ID 013301, 18 p. (2021; Zbl 1469.45011) Full Text: DOI
Umamaheswari, P.; Balachandran, K.; Annapoorani, N. Existence and stability results for Caputo fractional stochastic differential equations with Lévy noise. (English) Zbl 1513.34039 Filomat 34, No. 5, 1739-1751 (2020). MSC: 34A08 60H10 34A12 34A45 33E12 PDFBibTeX XMLCite \textit{P. Umamaheswari} et al., Filomat 34, No. 5, 1739--1751 (2020; Zbl 1513.34039) Full Text: DOI
Ahmadova, Arzu; Mahmudov, Nazim I. Existence and uniqueness results for a class of fractional stochastic neutral differential equations. (English) Zbl 1490.34094 Chaos Solitons Fractals 139, Article ID 110253, 8 p. (2020). MSC: 34K37 34K50 34K40 PDFBibTeX XMLCite \textit{A. Ahmadova} and \textit{N. I. Mahmudov}, Chaos Solitons Fractals 139, Article ID 110253, 8 p. (2020; Zbl 1490.34094) Full Text: DOI
Umamaheswari, P.; Balachandran, K.; Annapoorani, N. Existence and stability results for stochastic fractional delay differential equations with Gaussian noise. (English) Zbl 07357297 Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 399-412 (2020). MSC: 60H10 34A08 60H20 PDFBibTeX XMLCite \textit{P. Umamaheswari} et al., in: Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2--4, 2018. Singapore: Springer. 399--412 (2020; Zbl 07357297) Full Text: DOI
Anguraj, A.; Ravikumar, K.; Ramkumar, K. Existence and exponential stability for stochastic neutral partial functional integrodifferential equations with Poisson jumps. (English) Zbl 1460.60048 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 27, No. 5, 269-284 (2020). MSC: 60H10 45J05 34K30 34K50 PDFBibTeX XMLCite \textit{A. Anguraj} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 27, No. 5, 269--284 (2020; Zbl 1460.60048) Full Text: Link
Luo, Chaoliang; Guo, Shangjiang; Hou, Aiyu Well-posedness of mild solutions to stochastic parabolic partial functional differential equations. (English) Zbl 1403.60057 Bull. Malays. Math. Sci. Soc. (2) 42, No. 1, 355-379 (2019). MSC: 60H15 60G52 PDFBibTeX XMLCite \textit{C. Luo} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 1, 355--379 (2019; Zbl 1403.60057) Full Text: DOI
Zhang, Xinwen; Ruan, Dehao Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion. (English) Zbl 1498.37090 J. Inequal. Appl. 2018, Paper No. 201, 15 p. (2018). MSC: 37H30 60H15 60G22 60G65 60G52 93D23 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{D. Ruan}, J. Inequal. Appl. 2018, Paper No. 201, 15 p. (2018; Zbl 1498.37090) Full Text: DOI
Fan, Qianzhu Existence and uniqueness of solutions to stochastic heat equations with Markovian switching and Feller property. (English) Zbl 1420.60080 Stochastic Anal. Appl. 36, No. 6, 1006-1020 (2018). MSC: 60H15 PDFBibTeX XMLCite \textit{Q. Fan}, Stochastic Anal. Appl. 36, No. 6, 1006--1020 (2018; Zbl 1420.60080) Full Text: DOI Link
Yan, Zuomao; Jia, Xiumei Asymptotic behavior of second-order impulsive partial stochastic functional neutral integrodifferential equations with infinite delay. (English) Zbl 1488.34410 Filomat 31, No. 9, 2727-2748 (2017). MSC: 34K30 34K40 34K45 34K20 47N20 45J99 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{X. Jia}, Filomat 31, No. 9, 2727--2748 (2017; Zbl 1488.34410) Full Text: DOI
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion. (English) Zbl 1370.34137 Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2521-2541 (2017). Reviewer: Xiaohu Wang (Chengdu) MSC: 34K50 34K45 34K30 60H15 60H20 PDFBibTeX XMLCite \textit{A. Boudaoui} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2521--2541 (2017; Zbl 1370.34137) Full Text: DOI
Diop, Mamadou Abdoul; Rathinasamy, Sakthivel; Ndiaye, Abdoul Aziz Neutral stochastic integrodifferential equations driven by a fractional Brownian motion with impulsive effects and time-varying delays. (English) Zbl 1353.60053 Mediterr. J. Math. 13, No. 5, 2425-2442 (2016). MSC: 60H10 60H20 60H15 60G22 60G18 PDFBibTeX XMLCite \textit{M. A. Diop} et al., Mediterr. J. Math. 13, No. 5, 2425--2442 (2016; Zbl 1353.60053) Full Text: DOI
Du, Bo Successive approximation of neutral functional stochastic differential equations with variable delays. (English) Zbl 1410.60062 Appl. Math. Comput. 268, 609-615 (2015). MSC: 60H15 34K07 34K30 34K50 60J65 60J75 PDFBibTeX XMLCite \textit{B. Du}, Appl. Math. Comput. 268, 609--615 (2015; Zbl 1410.60062) Full Text: DOI
Yang, Hua; Liu, Jianguo; Jiang, Feng Exponential stability of jump-diffusion systems with neutral term and impulses. (English) Zbl 1393.60094 Math. Probl. Eng. 2015, Article ID 192083, 7 p. (2015). MSC: 60J75 34K20 34K45 PDFBibTeX XMLCite \textit{H. Yang} et al., Math. Probl. Eng. 2015, Article ID 192083, 7 p. (2015; Zbl 1393.60094) Full Text: DOI
Cui, Jing; Yan, Litan; Sun, Xichao Existence and stability for stochastic partial differential equations with infinite delay. (English) Zbl 1469.60203 Abstr. Appl. Anal. 2014, Article ID 235937, 8 p. (2014). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{J. Cui} et al., Abstr. Appl. Anal. 2014, Article ID 235937, 8 p. (2014; Zbl 1469.60203) Full Text: DOI
Govindan, T. E. Weak convergence of probability measures of Yosida approximate mild solutions of neutral SPDEs. (English) Zbl 1314.60126 Stat. Probab. Lett. 95, 26-32 (2014). MSC: 60H15 60H20 PDFBibTeX XMLCite \textit{T. E. Govindan}, Stat. Probab. Lett. 95, 26--32 (2014; Zbl 1314.60126) Full Text: DOI
Diop, Mamadou Abdoul; Ezzinbi, Khalil; Lo, Modou Mild solution of neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients. (English) Zbl 1302.93227 Afr. Mat. 24, No. 4, 671-682 (2013). MSC: 93E15 60H15 35R12 PDFBibTeX XMLCite \textit{M. A. Diop} et al., Afr. Mat. 24, No. 4, 671--682 (2013; Zbl 1302.93227) Full Text: DOI
Jiang, Feng; Yang, Hua; Zhao, Xinquan On the asymptotic stability of a class of jump-diffusions of neutral type with impulses. (English) Zbl 1297.34091 J. Inequal. Appl. 2013, Paper No. 561, 9 p. (2013). MSC: 34K50 34K45 34K20 34K40 PDFBibTeX XMLCite \textit{F. Jiang} et al., J. Inequal. Appl. 2013, Paper No. 561, 9 p. (2013; Zbl 1297.34091) Full Text: DOI
Jiang, Feng Mild solutions of neutral semilinear stochastic functional dynamic systems with local non-Lipschitz coefficients. (English) Zbl 1291.60132 Adv. Math. Phys. 2013, Article ID 823535, 6 p. (2013). MSC: 60H15 60G40 37L55 35R60 PDFBibTeX XMLCite \textit{F. Jiang}, Adv. Math. Phys. 2013, Article ID 823535, 6 p. (2013; Zbl 1291.60132) Full Text: DOI
Cui, Jing; Yan, Litan Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions. (English) Zbl 1286.60062 Math. Comput. Modelling 57, No. 9-10, 2378-2387 (2013). MSC: 60H15 35R60 35R12 PDFBibTeX XMLCite \textit{J. Cui} and \textit{L. Yan}, Math. Comput. Modelling 57, No. 9--10, 2378--2387 (2013; Zbl 1286.60062) Full Text: DOI
Caraballo, Tomás; Diop, Mamadou Abdoul Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion. (English) Zbl 1279.60078 Front. Math. China 8, No. 4, 745-760 (2013). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{M. A. Diop}, Front. Math. China 8, No. 4, 745--760 (2013; Zbl 1279.60078) Full Text: DOI Link
Long, Shujun; Teng, Lingying; Xu, Daoyi Global attracting set and stability of stochastic neutral partial functional differential equations with impulses. (English) Zbl 1250.93124 Stat. Probab. Lett. 82, No. 9, 1699-1709 (2012). MSC: 93E15 35R60 60H15 PDFBibTeX XMLCite \textit{S. Long} et al., Stat. Probab. Lett. 82, No. 9, 1699--1709 (2012; Zbl 1250.93124) Full Text: DOI
Govindan, T. E.; Ahmed, N. U. A note on exponential state feedback stabilizability by a Razumikhin type theorem of mild solutions of SDEs with delay. (English) Zbl 1251.93134 Stat. Probab. Lett. 82, No. 7, 1303-1309 (2012). Reviewer: Constantin Vârsan (Bucureşti) MSC: 93E15 60H10 93C25 PDFBibTeX XMLCite \textit{T. E. Govindan} and \textit{N. U. Ahmed}, Stat. Probab. Lett. 82, No. 7, 1303--1309 (2012; Zbl 1251.93134) Full Text: DOI
Diop, Mamadou Abdoul; Ezzinbi, Khalil; Lo, Modou Existence and uniqueness of mild solutions to some neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients. (English) Zbl 1242.60064 Int. J. Math. Math. Sci. 2012, Article ID 748590, 12 p. (2012). MSC: 60H15 PDFBibTeX XMLCite \textit{M. A. Diop} et al., Int. J. Math. Math. Sci. 2012, Article ID 748590, 12 p. (2012; Zbl 1242.60064) Full Text: DOI
Govindan, T. E. Mild solutions of neutral stochastic partial functional differential equations. (English) Zbl 1231.60060 Int. J. Stoch. Anal. 2011, Article ID 186206, 13 p. (2011). MSC: 60H15 PDFBibTeX XMLCite \textit{T. E. Govindan}, Int. J. Stoch. Anal. 2011, Article ID 186206, 13 p. (2011; Zbl 1231.60060) Full Text: DOI
Cui, Jing; Yan, Litan; Sun, Xichao Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps. (English) Zbl 1227.60085 Stat. Probab. Lett. 81, No. 12, 1970-1977 (2011). MSC: 60H15 60G55 93E15 34K50 60J75 PDFBibTeX XMLCite \textit{J. Cui} et al., Stat. Probab. Lett. 81, No. 12, 1970--1977 (2011; Zbl 1227.60085) Full Text: DOI
Jiang, Feng; Shen, Yi A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients. (English) Zbl 1217.60054 Comput. Math. Appl. 61, No. 6, 1590-1594 (2011). MSC: 60H15 35R10 35R60 PDFBibTeX XMLCite \textit{F. Jiang} and \textit{Y. Shen}, Comput. Math. Appl. 61, No. 6, 1590--1594 (2011; Zbl 1217.60054) Full Text: DOI
Boufoussi, Brahim; Hajji, Salah Successive approximation of neutral functional stochastic differential equations in Hilbert spaces. (English) Zbl 1197.34162 Ann. Math. Blaise Pascal 17, No. 1, 183-197 (2010). Reviewer: Nikolaos Halidias (Athens) MSC: 34K50 34K40 60H20 PDFBibTeX XMLCite \textit{B. Boufoussi} and \textit{S. Hajji}, Ann. Math. Blaise Pascal 17, No. 1, 183--197 (2010; Zbl 1197.34162) Full Text: DOI Numdam EuDML
Bao, Jianhai; Hou, Zhenting Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients. (English) Zbl 1189.60122 Comput. Math. Appl. 59, No. 1, 207-214 (2010). MSC: 60H15 35R10 35R60 PDFBibTeX XMLCite \textit{J. Bao} and \textit{Z. Hou}, Comput. Math. Appl. 59, No. 1, 207--214 (2010; Zbl 1189.60122) Full Text: DOI
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui Stability in distribution of mild solutions to stochastic partial differential equations. (English) Zbl 1195.60087 Proc. Am. Math. Soc. 138, No. 6, 2169-2180 (2010). MSC: 60H15 60H30 PDFBibTeX XMLCite \textit{J. Bao} et al., Proc. Am. Math. Soc. 138, No. 6, 2169--2180 (2010; Zbl 1195.60087) Full Text: DOI
Boufoussi, Brahim; Hajji, Salah Successive approximation of neutral functional stochastic differential equations with jumps. (English) Zbl 1196.60114 Stat. Probab. Lett. 80, No. 5-6, 324-332 (2010). Reviewer: Martin Ondreját (Praha) MSC: 60H15 34G20 60J65 60J75 PDFBibTeX XMLCite \textit{B. Boufoussi} and \textit{S. Hajji}, Stat. Probab. Lett. 80, No. 5--6, 324--332 (2010; Zbl 1196.60114) Full Text: DOI
Fu, Xianlong Existence and stability of solutions for nonautonomous stochastic functional evolution equations. (English) Zbl 1179.60044 J. Inequal. Appl. 2009, Article ID 785628, 27 p. (2009). MSC: 60H15 60H10 PDFBibTeX XMLCite \textit{X. Fu}, J. Inequal. Appl. 2009, Article ID 785628, 27 p. (2009; Zbl 1179.60044) Full Text: DOI EuDML
Luo, Jiaowan Exponential stability for stochastic neutral partial functional differential equations. (English) Zbl 1165.60024 J. Math. Anal. Appl. 355, No. 1, 414-425 (2009). MSC: 60H15 93E15 PDFBibTeX XMLCite \textit{J. Luo}, J. Math. Anal. Appl. 355, No. 1, 414--425 (2009; Zbl 1165.60024) Full Text: DOI