Uniqueness of critical traveling waves for nonlocal lattice equations with delays
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- by Zhi-Xian Yu
- Proc. Amer. Math. Soc. 140 (2012), 3853-3859
- DOI: https://doi.org/10.1090/S0002-9939-2012-11225-0
- Published electronically: March 5, 2012
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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.References
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Bibliographic Information
- Zhi-Xian Yu
- Affiliation: College of Science, University of Shanghai for Science and Technology, Shanghai 200093, People’s Republic of China
- Email: yzx3411422@163.com, yuzx0902@yahoo.com.cn
- 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
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3853-3859
- MSC (2010): Primary 34K31
- DOI: https://doi.org/10.1090/S0002-9939-2012-11225-0
- MathSciNet review: 2944726