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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Traveling wave front for partial neutral differential equations
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by Eduardo Hernández and Jianhong Wu PDF
Proc. Amer. Math. Soc. 146 (2018), 1603-1617 Request permission

Abstract:

By using Schauder’s point fixed theorem we study the existence of a traveling wave front for reaction-diffusion differential equations of the neutral type. Some examples arising in populations dynamics are presented.
References
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Additional Information
  • Eduardo Hernández
  • Affiliation: Departamento de Computação e Matemática, Faculdade de Filosofia Ciencias e Letras de Ribeirão Preto Universidade de São Paulo, CEP 14040-901 Ribeirão Preto, SP, Brazil
  • Email: lalohm@ffclrp.usp.br
  • Jianhong Wu
  • Affiliation: Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada M3J 1P3
  • MR Author ID: 226643
  • Email: wujh@mathstat.yorku.ca
  • Received by editor(s): March 17, 2017
  • Received by editor(s) in revised form: May 4, 2017, and May 12, 2017
  • Published electronically: November 7, 2017
  • Additional Notes: The work of the first author was supported by Fapesp Grant 2014/25818-9 and by the Natural Sceinces and Engineering Research Council of Canada. This work was developed during the first author’s visit to York University
  • Communicated by: Wenxian Shen
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 1603-1617
  • MSC (2010): Primary 35K57, 35C07, 34K40
  • DOI: https://doi.org/10.1090/proc/13824
  • MathSciNet review: 3754345