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Comparison theorem for distribution-dependent neutral SFDEs

Xing Huang, Chenggui Yuan Orcid Logo

Journal of Evolution Equations, Volume: 21, Issue: 1, Pages: 653 - 670

Swansea University Author: Chenggui Yuan Orcid Logo

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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...

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Published in: Journal of Evolution Equations
ISSN: 1424-3199 1424-3202
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa57828
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first_indexed 2021-10-04T13:14:05Z
last_indexed 2021-10-05T03:23:06Z
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spelling 2021-10-04T14:14:39.9804585 v2 57828 2021-09-09 Comparison theorem for distribution-dependent neutral SFDEs 22b571d1cba717a58e526805bd9abea0 0000-0003-0486-5450 Chenggui Yuan Chenggui Yuan true false 2021-09-09 SMA 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. Journal Article Journal of Evolution Equations 21 1 653 670 Springer Science and Business Media LLC 1424-3199 1424-3202 Comparison theorem; Distribution-dependent neutral SFDEs; Existence and uniqueness; Order preservation; Wasserstein distance 1 3 2021 2021-03-01 10.1007/s00028-020-00595-w COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2021-10-04T14:14:39.9804585 2021-09-09T09:33:03.2301900 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Xing Huang 1 Chenggui Yuan 0000-0003-0486-5450 2 57828__20802__240ff23e8e1b4de59a22ebe0d8d3c8bb.pdf 19HYJEE-RIS.pdf 2021-09-09T09:40:18.0624450 Output 301413 application/pdf Accepted Manuscript true 2021-06-22T00:00:00.0000000 true eng
title Comparison theorem for distribution-dependent neutral SFDEs
spellingShingle Comparison theorem for distribution-dependent neutral SFDEs
Chenggui Yuan
title_short Comparison theorem for distribution-dependent neutral SFDEs
title_full Comparison theorem for distribution-dependent neutral SFDEs
title_fullStr Comparison theorem for distribution-dependent neutral SFDEs
title_full_unstemmed Comparison theorem for distribution-dependent neutral SFDEs
title_sort Comparison theorem for distribution-dependent neutral SFDEs
author_id_str_mv 22b571d1cba717a58e526805bd9abea0
author_id_fullname_str_mv 22b571d1cba717a58e526805bd9abea0_***_Chenggui Yuan
author Chenggui Yuan
author2 Xing Huang
Chenggui Yuan
format Journal article
container_title Journal of Evolution Equations
container_volume 21
container_issue 1
container_start_page 653
publishDate 2021
institution Swansea University
issn 1424-3199
1424-3202
doi_str_mv 10.1007/s00028-020-00595-w
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description 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.
published_date 2021-03-01T04:13:52Z
_version_ 1763753939046498304
score 11.016235

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