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On the existence of non-monotone non-oscillating wavefronts
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| DOI | 10.1016/J.JMAA.2014.04.075 | ||||
| Año | 2014 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
We present a monostable delayed reaction diffusion equation with the unimodal birth function which admits only non-monotone wavefronts. Moreover, these fronts are either eventually monotone (in particular, such is the minimal wave) or slowly oscillating. Hence, for the Mackey-Glass type diffusive equations, we answer affirmatively the question about the existence of non-monotone non-oscillating wavefronts. As it was recently established by Hasik et al. and Ducrot et al., the same question has a negative answer for the KPP-Fisher equation with a single delay. (C) 2014 Elsevier Inc. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Ivanov, Anatoli | Hombre |
PENN STATE UNIV - Estados Unidos
Pennsylvania State University - Estados Unidos |
| 2 | GOMEZ-GAETE, CARLOS ANDRES | Hombre |
Universidad de Talca - Chile
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| 3 | Trofimchuk, S. | Hombre |
Universidad de Talca - Chile
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| Fuente |
|---|
| FONDECYT |
| CONICYT |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Comisión Nacional de Investigación Científica y Tecnológica |
| Comisión Nacional de Investigación CientÃfica y Tecnológica |
| Fondo Nacional de Desarrollo CientÃfico, Tecnológico y de Innovación Tecnológica |
| CONICYT PBCT Program |
| Becas para Estudios de Doctorado en Chile |
| CONICYT PBCT |
| Agradecimiento |
|---|
| The authors express their gratitude to the handling editor and to the two anonymous referees for their valuable comments and suggestions which helped to improve the final version of this paper. This research was supported in part by the CONICYT grant 80110006 (A. Ivanov) and the FONDECYT grant 1110309 (S. Trofimchuk and C. Gomez). S. Trofimchuk also acknowledges support from CONICYT PBCT program ACT-56. C. Gomez was supported by the CONICYT grant 21110243, program "Becas para Estudios de Doctorado en Chile". We would like to thank Penn State student Valerie Lindner for her computational and graphical work, some of which is used in this paper. She has done this work within a PSU W-B undergraduate student research project. |
| The authors express their gratitude to the handling editor and to the two anonymous referees for their valuable comments and suggestions which helped to improve the final version of this paper. This research was supported in part by the CONICYT grant 80110006 (A. Ivanov) and the FONDECYT grant 1110309 (S. Trofimchuk and C. Gomez). S. Trofimchuk also acknowledges support from CONICYT PBCT program ACT-56 . C. Gomez was supported by the CONICYT grant 21110243 , program “Becas para Estudios de Doctorado en Chile”. We would like to thank Penn State student Valerie Lindner for her computational and graphical work, some of which is used in this paper. She has done this work within a PSU W-B undergraduate student research project. |
