Almost automorphic is a particular case of the recurrent motion, which has been studied in differential equations for a long time. We introduce square-mean pseudo almost automorphic and some of its properties, and the...Almost automorphic is a particular case of the recurrent motion, which has been studied in differential equations for a long time. We introduce square-mean pseudo almost automorphic and some of its properties, and then study the pseudo almost automorphic solution in the distribution sense to stochastic differential equation driven by Levy process.展开更多
基金The authors are grateful to the anonymous referees for very helpful comments on the original version of this paper. The work of Xinwei FENG was partially supported by the National Natural Science Foundation of China （Grant No. 11601280）. The work of Gaofeng ZONG was supported in part by the National Natural Science Foundation of China （Grant Nos. 11501325, 11231005） and the China Postdoctoral Science Foundation （Grant No. 2018T110706）.
文摘Almost automorphic is a particular case of the recurrent motion, which has been studied in differential equations for a long time. We introduce square-mean pseudo almost automorphic and some of its properties, and then study the pseudo almost automorphic solution in the distribution sense to stochastic differential equation driven by Levy process.
