Pseudo almost periodicity for stochastic differential equations in infinite dimensions
| dc.contributor.author | Chen, Ye-Jun | |
| dc.contributor.author | Ding, Hui-Sheng | |
| dc.date.accessioned | 2023-05-23T21:15:16Z | |
| dc.date.available | 2023-05-23T21:15:16Z | |
| dc.date.issued | 2023-04-10 | |
| dc.description.abstract | In this article, we introduce the concept of p-mean θ-pseudo almost periodic stochastic processes, which is slightly weaker than p-mean pseudo almost periodic stochastic processes. Using the operator semigroup theory and stochastic analysis theory, we obtain the existence and uniqueness of square-mean θ-pseudo almost periodic mild solutions for a semilinear stochastic differential equation in infinite dimensions. Moreover, we prove that the obtained solution is also pseudo almost periodic in path distribution. It is noteworthy that the ergodic part of the obtained solution is not only ergodic in square-mean but also ergodic in path distribution. Our main results are even new for the corresponding stochastic differential equations (SDEs) in finite dimensions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, Y. J., & Ding, H. S. (2023). Pseudo almost periodicity for stochastic differential equations in infinite dimensions. <i>Electronic Journal of Differential Equations, 2023</i>(34), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16869 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Pseudo almost periodic | |
| dc.subject | Solutions in distribution | |
| dc.subject | Stochastic differential equations in infinite dimensions | |
| dc.title | Pseudo almost periodicity for stochastic differential equations in infinite dimensions | |
| dc.type | Article |