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Uniqueness of critical traveling waves for nonlocal lattice equations with delays

Author: Zhi-Xian Yu
Journal: Proc. Amer. Math. Soc. 140 (2012), 3853-3859
MSC (2010): Primary 34K31
Published electronically: March 5, 2012
MathSciNet review: 2944726
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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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Additional Information

Zhi-Xian Yu
Affiliation: College of Science, University of Shanghai for Science and Technology, Shanghai 200093, People’s Republic of China

Received by editor(s): November 21, 2010
Received by editor(s) in revised form: April 21, 2011, and April 22, 2011
Published electronically: March 5, 2012
Additional Notes: The work of the author was supported by the Natural Science Foundation of China (No. 11101282)
Communicated by: Yingfei Yi
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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