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Traveling wave front for partial neutral differential equations

Authors: Eduardo Hernández and Jianhong Wu
Journal: Proc. Amer. Math. Soc. 146 (2018), 1603-1617
MSC (2010): Primary 35K57, 35C07, 34K40
Published electronically: November 7, 2017
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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.

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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

Jianhong Wu
Affiliation: Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada M3J 1P3

Keywords: Traveling wave front, reaction-diffusion equations, neutral differential equations, point fixed, monotonicity, upper solution, lower solution
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
Article copyright: © Copyright 2017 American Mathematical Society

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