Almost periodic solutions to a stochastic differential equation in Hilbert spaces

DOI10.1007/S00025-011-0207-9zbMath1263.34059OpenAlexW2018628621WikidataQ115389885 ScholiaQ115389885MaRDI QIDQ1936936

Yong-Kui Chang, Zhi-Han Zhao, Ru Yun Ma

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0207-9

zbMATH Keywords

stochastic differential equationsanalytic semigroupquadratic mean almost periodicity

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (11)

Approximate controllability of semilinear fractional stochastic dynamic systems with nonlocal conditions in Hilbert spaces ⋮ On the initial value problem of stochastic evolution equations in Hilbert spaces ⋮ Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations ⋮ Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations ⋮ Unnamed Item ⋮ Almost automorphic random functions in probability ⋮ Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems ⋮ The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm ⋮ Existence of \(P\)-mean almost periodic mild solution for fractional stochastic neutral functional differential equation ⋮ On almost periodic mild solutions for neutral stochastic evolution equations with infinite delay ⋮ \(p\)th mean almost periodic solutions to neutral stochastic evolution equations with infinite delay and Poisson jumps

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