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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Expression of time almost periodic traveling wave solutions to a class of competition diffusion systems
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by Fang Li and Bendong Lou PDF
Proc. Amer. Math. Soc. 146 (2018), 2163-2171 Request permission

Abstract:

In this paper we consider a class of competition diffusion systems with time almost periodic coefficients. We show that any almost periodic traveling wave solution to such a system is given by a decomposition formula, that is, each component of the solution equals the product of the corresponding diffusion coefficient and the classical traveling wave solution (with a different time scale).
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Additional Information
  • Fang Li
  • Affiliation: Mathematics & Science College, Shanghai Normal University, Shanghai 200234, People’s Republic of China.
  • MR Author ID: 1206479
  • Email: lifwx@shnu.edu.cn
  • Bendong Lou
  • Affiliation: Mathematics & Science College, Shanghai Normal University, Shanghai 200234, People’s Republic of China.
  • Email: lou@shnu.edu.cn
  • Received by editor(s): May 8, 2017
  • Received by editor(s) in revised form: August 2, 2017
  • Published electronically: January 16, 2018
  • Additional Notes: Bendong Lou served as corresponding author.
    This research was partly supported by NSFC (No. 11671262) and China Postdoctoral Science Foundation funded project.
  • Communicated by: Wenxian Shen
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 2163-2171
  • MSC (2010): Primary 35K57, 35C07, 35B15
  • DOI: https://doi.org/10.1090/proc/13923
  • MathSciNet review: 3767366