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An Ikehara-type theorem for functions convergent to zero

Dmitri Finkelshtein Orcid Logo, Pasha Tkachov

Comptes Rendus Mathematique, Volume: 357, Issue: 4, Pages: 333 - 338

Swansea University Author: Dmitri Finkelshtein Orcid Logo

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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...

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Published in: Comptes Rendus Mathematique
ISSN: 1631-073X
Published: Elsevier BV 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa49983
first_indexed 2019-04-17T13:54:55Z
last_indexed 2020-06-29T13:01:22Z
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spelling 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 MACS 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 and Computer Science School COLLEGE CODE MACS 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
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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
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 2019-04-01T04:38:42Z
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score 11.461559

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