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Cited by 84 publications
(37 citation statements)
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“…Since 1980s, almost periodic solutions to stochastic differential equations (SDEs) driven by Gaussian motion have been studied by some authors, see Tudor (1992) and Da Prato and Tudor (1995) for the periodic and almost periodic solution in the distribution sense for stochastic evolution equations, Arnold and Tudor (1998) for the almost periodic solution in the distribution sense for stochastic ordinary affine equations. Moreover, Bezandry and Diagana (2011) introduced square-mean almost periodic solution for some SDEs.…”
Section: Introductionmentioning
confidence: 99%
“…Since 1980s, almost periodic solutions to stochastic differential equations (SDEs) driven by Gaussian motion have been studied by some authors, see Tudor (1992) and Da Prato and Tudor (1995) for the periodic and almost periodic solution in the distribution sense for stochastic evolution equations, Arnold and Tudor (1998) for the almost periodic solution in the distribution sense for stochastic ordinary affine equations. Moreover, Bezandry and Diagana (2011) introduced square-mean almost periodic solution for some SDEs.…”
Section: Introductionmentioning
confidence: 99%
“…One can refer to [30,31] for the elementary theories for stochastic differential equations. Bezandry and Diagana systematically studied the fundamental properties of almost periodic stochastic processes and investigated almost periodic solutions to different kinds of stochastic differential equations in a recent monograph [32]. Fu and Liu introduced the concept of square-mean almost automorphic stochastic processes in [33].…”
Section: Introductionmentioning
confidence: 99%
“…It is an area of interest in its own right and has sundry applications in elds like Mathematical Biology for example. Almost periodic random functions in probability have been investigated in (Bezandry and Diagana [3], Deng and Ding [6], Deng et al [7], Bezandry et al [4]) and reference therein. The case of almost periodic random sequences in probability received less attention (see Han and Hong [8]).…”
Section: Introductionmentioning
confidence: 99%