Uniqueness of traveling waves for nonlocal lattice equations

Authors:
Jian Fang, Junjie Wei and Xiao-Qiang Zhao

Journal:
Proc. Amer. Math. Soc. **139** (2011), 1361-1373

MSC (2010):
Primary 34K31, 35B40, 74G30

Published electronically:
August 25, 2010

MathSciNet review:
2748428

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Abstract | References | Similar Articles | Additional Information

Abstract: We establish the uniqueness (up to translation) of traveling waves for a nonlocal lattice equation with time delay. Our approach is based on exact a priori asymptotics of the wave profiles. This we accomplish by developing a structure theorem of entire solutions to a class of linear integro-differential equations.

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Additional Information

**Jian Fang**

Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People’s Republic of China

Address at time of publication:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C5S7, Canada

Email:
jfang@mun.ca

**Junjie Wei**

Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People’s Republic of China

Email:
weijj@hit.edu.cn

**Xiao-Qiang Zhao**

Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C5S7, Canada

Email:
zhao@mun.ca

DOI:
http://dx.doi.org/10.1090/S0002-9939-2010-10540-3

Received by editor(s):
October 21, 2009

Received by editor(s) in revised form:
April 15, 2010

Published electronically:
August 25, 2010

Additional Notes:
This research is supported in part by the Chinese Government Scholarship (for the first author), the NSF of China (No. 10771045) (for the second author), and the NSERC of Canada and the MITACS of Canada (for the third author).

Communicated by:
Yingfei Yi

Article copyright:
© Copyright 2010
American Mathematical Society