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An Ikehara-type theorem for functions convergent to zero
,
Pasha Tkachov
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 |
| Published: |
Elsevier BV
2019
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa49983 |
| 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 for various reaction-diffusion equations. |
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| Keywords: |
Ikehara theorem, complex Tauberian theorem, Laplace transform, asymptotic behavior, traveling waves |
| College: |
Faculty of Science and Engineering |
| Issue: |
4 |
| Start Page: |
333 |
| End Page: |
338 |