Global attraction in a system of delay differential equations via compact and convex sets
Loading...
Identifiers
Publication date
Authors
Advisors
Tutors
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Mathematical Sciences
Metrics
Export
Abstract
We provide sufficient conditions for a concrete type of systems of delay differential equations (DDEs) to have a global attractor. The principal idea is based on a particular type of global attraction in difference equations in terms of nested, convex and compact sets. We prove that the solutions of the system of DDEs inherit the convergence to the equilibrium from an associated discrete dynamical system
Description
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems Series B following peer review. The definitive publisher-authenticated version [S. Buedo-Fernández. Global attraction in a system of delay differential equations via compact and convex sets, Discrete Contin Dyn. Syst., Ser. B 25 (2020), 3171-3181] is available online at: [https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020056]
Bibliographic citation
Discrete and Continuous Dynamical Systems - Series B, August 2020, 25(8): 3171-3181. doi: 10.3934/dcdsb.2020056
Relation
Has part
Has version
Is based on
Is part of
Is referenced by
Is version of
Requires
Publisher version
https://doi.org/10.3934/dcdsb.2020056Sponsors
This research has been partially supported by funds initially conceded by Ministerio de Educación, Cultura y Deporte of Spain (grant number FPU16/04416) and by Consellería de Cultura, Educación e Ordenación Universitaria da Xunta de Galicia (grant number ED481A-2017/030).
As part of a research group, the author also acknowledges funding from Xunta de Galicia (GRC2015/004, R2016/022 and ED431C 2019/02) and Agencia Estatal de Investigación of Spain (grant number MTM2016-75140-P, cofunded by European Community fund FEDER)
Rights
© American Institute of Mathematical Sciences 2020