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An Ikehara-type theorem for functions convergent to zero / Dmitri, Finkelshtein

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

Swansea University Author: Dmitri, Finkelshtein

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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa49983
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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.
Keywords: Ikehara theorem, complex Tauberian theorem, Laplace transform, asymptotic behavior, traveling waves
College: College of Science
Issue: 4
Start Page: 333
End Page: 338