TY - JOUR
T1 - An Averaging Principle for the Time-Dependent Abstract Stochastic Evolution Equations with Infinite Delay and Wiener Process
AU - Xu, Wenjing
AU - Xu, Wei
N1 - Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2020/3/1
Y1 - 2020/3/1
N2 - In this paper, averaging principle for the time-dependent stochastic evolution equations (TDSEEs) with infinite delay is investigated. In proper non-Lipschitz conditions, we prove that the mild solution of the averaged stochastic evolution equations (ASEEs), governed by time-independent family of linear operators, converges to that of the original one in L2 sense. At last, an application example is presented to prove the obtained theory.
AB - In this paper, averaging principle for the time-dependent stochastic evolution equations (TDSEEs) with infinite delay is investigated. In proper non-Lipschitz conditions, we prove that the mild solution of the averaged stochastic evolution equations (ASEEs), governed by time-independent family of linear operators, converges to that of the original one in L2 sense. At last, an application example is presented to prove the obtained theory.
KW - Averaging principle
KW - Infinite delay
KW - L convergence
KW - The time-dependent stochastic evolution equations
UR - http://www.scopus.com/inward/record.url?scp=85078503386&partnerID=8YFLogxK
U2 - 10.1007/s10955-019-02422-0
DO - 10.1007/s10955-019-02422-0
M3 - 文章
AN - SCOPUS:85078503386
SN - 0022-4715
VL - 178
SP - 1126
EP - 1141
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 5
ER -