Uniqueness of critical traveling waves for nonlocal lattice equations with delays

Yu, Zhi-Xian

doi:10.1090/S0002-9939-2012-11225-0

Uniqueness of critical traveling waves for nonlocal lattice equations with delays
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Proc. Amer. Math. Soc. 140 (2012), 3853-3859 Request permission

Abstract:

In this paper, we investigate uniqueness (up to translation) of critical traveling waves for delayed lattice equations with monotone or non-monotone birth functions. Our method requires finding exactly a priori asymptotic behavior of the critical traveling wave. This we accomplish with the help of Ikehara’s Theorem.

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