An Ikehara-type theorem for functions convergent to zero |
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| Authors: | Dmitri Finkelshtein Pasha Tkachov |
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| Institution: | 1. Department of Mathematics, Swansea University, Bay Campus, Fabian Way, Swansea SA2 8EN, UK;2. Gran Sasso Science Institute, Viale Francesco Crispi, 7, 67100 L''Aquila AQ, Italy |
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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 of the results formulated in Diekmann & Kaper (1978) 5] and Carr & Chmaj (2004) 1], which are widely used nowadays to prove the uniqueness of traveling waves for various reaction–diffusion equations. |
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