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An Ikehara-type theorem for functions convergent to zero
Comptes Rendus Mathematique, Volume: 357, Issue: 4, Pages: 333 - 338
Swansea University Author: Dmitri Finkelshtein
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DOI (Published version): 10.1016/j.crma.2019.04.007
Abstract
We establish an analogue of the Ikehara theorem for positive non-increasing functions convergent to zero. In particular, this provides a complete proof to the results formulated in Diekmann/Kaper (1978) and Carr/Chmaj (2004), which are widely used nowadays to prove the uniqueness of traveling waves...
Published in: | Comptes Rendus Mathematique |
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ISSN: | 1631-073X |
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Elsevier BV
2019
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URI: | https://cronfa.swan.ac.uk/Record/cronfa49983 |
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2020-06-29T12:50:32.3504153 v2 49983 2019-04-12 An Ikehara-type theorem for functions convergent to zero 4dc251ebcd7a89a15b71c846cd0ddaaf 0000-0001-7136-9399 Dmitri Finkelshtein Dmitri Finkelshtein true false 2019-04-12 SMA We establish an analogue of the Ikehara theorem for positive non-increasing functions convergent to zero. In particular, this provides a complete proof to the results formulated in Diekmann/Kaper (1978) and Carr/Chmaj (2004), which are widely used nowadays to prove the uniqueness of traveling waves for various reaction-diffusion equations. Journal Article Comptes Rendus Mathematique 357 4 333 338 Elsevier BV 1631-073X Ikehara theorem, complex Tauberian theorem, Laplace transform, asymptotic behavior, traveling waves 1 4 2019 2019-04-01 10.1016/j.crma.2019.04.007 http://dx.doi.org/10.1016/j.crma.2019.04.007 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2020-06-29T12:50:32.3504153 2019-04-12T22:31:06.3321933 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Dmitri Finkelshtein 0000-0001-7136-9399 1 Pasha Tkachov 2 0049983-12042019223144.pdf FT-Ikehara-Accepted.pdf 2019-04-12T22:31:44.5330000 Output 394938 application/pdf Accepted Manuscript true 2020-04-24T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng |
title |
An Ikehara-type theorem for functions convergent to zero |
spellingShingle |
An Ikehara-type theorem for functions convergent to zero Dmitri Finkelshtein |
title_short |
An Ikehara-type theorem for functions convergent to zero |
title_full |
An Ikehara-type theorem for functions convergent to zero |
title_fullStr |
An Ikehara-type theorem for functions convergent to zero |
title_full_unstemmed |
An Ikehara-type theorem for functions convergent to zero |
title_sort |
An Ikehara-type theorem for functions convergent to zero |
author_id_str_mv |
4dc251ebcd7a89a15b71c846cd0ddaaf |
author_id_fullname_str_mv |
4dc251ebcd7a89a15b71c846cd0ddaaf_***_Dmitri Finkelshtein |
author |
Dmitri Finkelshtein |
author2 |
Dmitri Finkelshtein Pasha Tkachov |
format |
Journal article |
container_title |
Comptes Rendus Mathematique |
container_volume |
357 |
container_issue |
4 |
container_start_page |
333 |
publishDate |
2019 |
institution |
Swansea University |
issn |
1631-073X |
doi_str_mv |
10.1016/j.crma.2019.04.007 |
publisher |
Elsevier BV |
college_str |
Faculty of Science and Engineering |
hierarchytype |
|
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facultyofscienceandengineering |
hierarchy_top_title |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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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 |
url |
http://dx.doi.org/10.1016/j.crma.2019.04.007 |
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description |
We establish an analogue of the Ikehara theorem for positive non-increasing functions convergent to zero. In particular, this provides a complete proof to the results formulated in Diekmann/Kaper (1978) and Carr/Chmaj (2004), which are widely used nowadays to prove the uniqueness of traveling waves for various reaction-diffusion equations. |
published_date |
2019-04-01T04:01:16Z |
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1763753146615595008 |
score |
11.028886 |