Fecha
2020-12-21
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Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
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Título del volumen
Editor
Electronic Journal of Qualitative Theory of Differential Equations
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Resumen
We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear feedback is negative in a certain interval. Using recent stability results for difference equations, we obtain a stability dichotomy for the original delay differential equation in the situation wherein the Schwarzian derivative of the nonlinear term may change sign. We illustrate the applicability of our results with several examples.
Descripción
The registered version of this article, first published in “Electronic Journal of Qualitative Theory of Differential Equations, pp. 1-15, (2020)", is available online at the publisher's website: Universidad nacional de Educación a Distancia, https://doi.org/10.14232/ejqtde.2020.1.76
Categorías UNESCO
Palabras clave
delay differential equations, difference equations, global attractor
Citación
Franco, Daniel, Guiver, Chris, Logemann, Hartmut, Perán, Juan. Electron. J. Qual. Theory Differ. Equ. 2020, No. 76, 1-15. ISSN 1417-3875. DOI: https://doi.org/10.14232/ejqtde.2020.1.76
Centro
Facultades y escuelas::E.T.S. de Ingenieros Industriales
Departamento
MATEMÁTICA APLICADA I