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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nonstandard Quasi-monotonicity: An Application to the Wave Existence in a Neutral KPP-Fisher Equation

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Author(s):
Hernandez, Eduardo [1] ; Trofimchuk, Sergei [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Comp & Matemat, Fac Filosofia Ciencias & Letras Ribeirao Preto, BR-14040901 Ribeirao Preto, SP - Brazil
[2] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca - Chile
Total Affiliations: 2
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 32, n. 2, p. 921-939, JUN 2020.
Web of Science Citations: 0
Abstract

We revisit Wu and Zou non-standard quasi-monotonicity approach for proving existence of monotone wavefronts in monostable reaction-diffusion equations with delays. This allows to solve the problem of existence of monotone wavefronts in a neutral KPP-Fisher equation. In addition, using some new ideas proposed recently by Solar et al., we establish the uniqueness (up to a translation) of these monotone wavefronts. (AU)

FAPESP's process: 17/13145-8 - Global solutions for abstract differential equations with state dependent delay
Grantee:Eduardo Alex Hernández Morales
Support Opportunities: Regular Research Grants
FAPESP's process: 18/06658-1 - Traveling waves solutions for reaction-diffusion systems with state-dependent delay
Grantee:Eduardo Alex Hernández Morales
Support Opportunities: Research Grants - Visiting Researcher Grant - International