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1994, Monographs and textbooks in pure and applied mathematics, ISBN 0824790804, Volume 182., xii, 307
Book
Systems & Control Letters, ISSN 0167-6911, 08/2018, Volume 118, pp. 62 - 68
Journal Article
2014, Second edition., Encyclopedia of mathematics and its applications, ISBN 9781107055841, Volume 152, xviii, 493 pages.
"Now in its second edition, this book gives a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite... 
Stochastic partial differential equations
Book
Applied Mathematics and Computation, ISSN 0096-3003, 12/2018, Volume 339, pp. 663 - 674
In this paper, the delay dependent asymptotic mean square stability of the stochastic split-step θ method for a scalar linear stochastic delay differential... 
stochastic split-step θ method | root locus technique | Stochastic delay differential equations | asymptotic mean square stability | delay dependent stability | MILSTEIN SCHEME | MATHEMATICS, APPLIED | MARUYAMA METHODS | MEAN-SQUARE STABILITY | BACKWARD EULER METHOD | stochastic split-step theta method
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 08/2019, Volume 119, Issue 9, pp. 879 - 898
Summary An efficient numerical method is presented to analyze the moment stability and stationary behavior of linear stochastic delay differential equations.... 
moment stability | time delay | stationary solution | stochastic dynamical systems | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | Differential equations | Discretization | Mathematical analysis | Numerical methods | Mapping | Stability analysis | Delay
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 06/2018, Volume 335, pp. 114 - 128
This paper establishes the convergence of a class of highly nonlinear stochastic differential delay equations without the linear growth condition replacing by... 
Local Lipschitz condition | Strong convergence | Khasminskii-type condition | Stochastic differential delay equations | Partially truncated Euler–Maruyama method | MATHEMATICS, APPLIED | Partially truncated Euler-Maruyama method
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2020, Volume 43, Issue 2, pp. 600 - 612
This article studies a class of nonlocal stochastic differential equations driven by G‐Brownian motion (G‐NSDEs for short). We show the existence and... 
G‐Brownian motion | nonlocal stochastic delay differential equations | existence and uniqueness | global solution | EXISTENCE | MATHEMATICS, APPLIED | CALCULUS | G-Brownian motion | Fixed points (mathematics) | Mathematical analysis | Existence theorems | Brownian movements | Differential equations
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 10/2016, Volume 126, Issue 10, pp. 3102 - 3123
This work focuses on properties of stochastic integro-differential equations with infinite delay (or unbounded delay). Our main approach is to map the solution... 
Recurrence | Ergodicity | Stochastic integro-differential equation | Infinite delay | Weak sense Fokker–Planck equation | Weak sense Fokker-Planck equation | EXPONENTIAL STABILITY | DIFFERENTIAL-EQUATIONS | STATISTICS & PROBABILITY | POPULATION-DYNAMICS | Analysis | Differential equations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 12/2017, Volume 315, pp. 85 - 95
Journal Article
Systems & Control Letters, ISSN 0167-6911, 05/2018, Volume 115, pp. 1 - 8
Stability criteria for neutral stochastic differential delay equations (NSDDEs) have been studied intensively for the past several decades. Most of these... 
Neutral stochastic differential delay equation | Asymptotic stability | Delay dependent | Nonlinear growth condition | Markovian switching
Journal Article
Numerical Algorithms, ISSN 1017-1398, 6/2018, Volume 78, Issue 2, pp. 599 - 624
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 11/2018, Volume 85, pp. 70 - 76
This paper is devoted to the investigation of the ultimate boundedness of impulsive stochastic delay differential equations. The pth moment global exponential... 
Exponential ultimate boundedness | Impulsive control | Stochastic delay differential equations | EXISTENCE | MATHEMATICS, APPLIED | NEURAL-NETWORKS | STABILITY ANALYSIS | SYSTEMS | UNIQUENESS | Parathyroid hormone | Differential equations
Journal Article
Automatica, ISSN 0005-1098, 06/2014, Volume 50, Issue 6, pp. 1565 - 1579
Journal Article