RT Journal Article
T1 Global attraction in a system of delay differential equations via compact and convex sets
A1 Buedo Fernández, Sebastián
K1 CC-strong attractors
K1 Convex and compact sets
K1 Delay differential equation
K1 Difference equation
K1 Equilibrium
K1 Global attraction
K1 Strong attractors
AB 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
PB American Institute of Mathematical Sciences
SN 1531-3492
YR 2020
FD 2020
LK http://hdl.handle.net/10347/24400
UL http://hdl.handle.net/10347/24400
LA eng
NO Discrete and Continuous Dynamical Systems - Series B, August  2020, 25(8): 3171-3181. doi: 10.3934/dcdsb.2020056
NO 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]
NO 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)
DS Minerva
RD 24 abr 2026