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Comparison theorem for distribution-dependent neutral SFDEs
Xing Huang,
Chenggui Yuan 
Journal of Evolution Equations, Volume: 21, Issue: 1, Pages: 653 - 670
Swansea University Author:
Chenggui Yuan
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DOI (Published version): 10.1007/s00028-020-00595-w
Abstract
In this paper, we show the existence and uniqueness of strong solutions to distribution dependent neutral SFDEs. The conditions such that the order preservation of these equations are established. Moreover, we show these conditions are also necessary when the coefficients are continuous. The result...
| Published in: | Journal of Evolution Equations |
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| ISSN: | 1424-3199 1424-3202 |
| Published: |
Springer Science and Business Media LLC
2021
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa57828 |
| Abstract: |
In this paper, we show the existence and uniqueness of strong solutions to distribution dependent neutral SFDEs. The conditions such that the order preservation of these equations are established. Moreover, we show these conditions are also necessary when the coefficients are continuous. The result extends the one in the distribution independent case, and the necessity of these conditions is new even in distribution independent case. |
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| Keywords: |
Comparison theorem; Distribution-dependent neutral SFDEs; Existence and uniqueness; Order preservation; Wasserstein distance |
| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
653 |
| End Page: |
670 |